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Author  Title  Accn#  Year  Item Type  Claims 
1 
Kenkre, V. M. (Nitant) 
Interplay of Quantum Mechanics and Nonlinearity 
I12518 
2022 
Book 

2 
Helal, Mohamed Atef 
Solitons 
I12321 
2022 
Book 

3 
Yaghjian, Arthur D 
Relativistic Dynamics of a Charged Sphere 
I12221 
2022 
Book 

4 
Luo, Albert C. J 
TwoDimensional Quadratic Nonlinear Systems 
I11975 
2021 
eBook 

5 
Boos, Jens 
Effects of Nonlocality in Gravity and Quantum Theory 
I11881 
2021 
eBook 

6 
Zhu, Yichao 
Equations and Analytical Tools in Mathematical Physics 
I11851 
2021 
eBook 

7 
??chsner, Andreas 
Classical Beam Theories of Structural Mechanics 
I11828 
2021 
eBook 

8 
Yoshida, Kentaroh 
Yang???Baxter Deformation of 2D NonLinear Sigma Models 
I11819 
2021 
eBook 

9 
Marinca, Vasile 
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems 
I11650 
2021 
eBook 

10 
Grigorieva, Elena V 
Asymptotic Representation of Relaxation Oscillations in Lasers 
I10175 
2017 
eBook 


1.


Title  Interplay of Quantum Mechanics and Nonlinearity : Understanding SmallSystem Dynamics of the Discrete Nonlinear Schr??dinger Equation 
Author(s)  Kenkre, V. M. (Nitant) 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XXVI, 310 p. 114 illus., 34 illus. in color : online resource 
Abstract Note  This book presents an indepth study of the discrete nonlinear Schr??dinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and BoseEinstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrierphonon interactions and BoseEinstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader???s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and lowtemperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics 
ISBN,Price  9783030948115 
Keyword(s)  1. BoseEinstein Condensate
2. BOSEEINSTEIN CONDENSATION
3. DIFFERENTIAL EQUATIONS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. Electronic materials
8. Electronics???Materials
9. MATHEMATICAL PHYSICS
10. QUANTUM PHYSICS

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2.


Title  Solitons 
Author(s)  Helal, Mohamed Atef 
Publication  New York, NY, 1. Imprint: Springer
2. Springer US, 2022. 
Description  151 illus., 112 illus. in color. eReference : online resource 
Abstract Note  This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous nonlinear equation KortewegdeVries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., KadomtsevPetviashvili (KP), KleinGordon (KG), SineGordon (SG), NonLinear Schr??dinger (NLS), KortewegdeVries Burger???s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other nonanalytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multidisciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies 
ISBN,Price  9781071624579 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Engineering Fluid Dynamics
5. ENVIRONMENTAL PHYSICS
6. ENVIRONMENTAL SCIENCES
7. FLUID MECHANICS
8. Mathematical Methods in Physics
9. MATHEMATICAL PHYSICS
10. PHYSICS
11. PLASMA WAVES
12. Waves, instabilities and nonlinear plasma dynamics

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Call#  Status  Issued To  Return Due On  Physical Location 
I12321 


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3.


Title  Relativistic Dynamics of a Charged Sphere : Updating the LorentzAbraham Model 
Author(s)  Yaghjian, Arthur D 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XVII, 207 p. 19 illus., 17 illus. in color : online resource 
Abstract Note  This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz 130 years ago. The original derivations of Lorentz, Abraham, Poincar??, and Schott are modified and generalized for the charged insulator model of the electron to obtain an equation of motion consistent with causal solutions to the MaxwellLorentz equations and the equations of special relativity. The solutions to the resulting equation of motion are free of preacceleration and predeceleration. The generalized method is applied to obtain the causal solution to the equation of motion of a charge accelerating in a uniform electric field for a finite time interval. Alternative derivations of the LandauLifshitz approximation are given as well as necessary and sufficient conditions for the LandauLifshitz approximation to be an accurate solution to the exact LorentzAbrahamDirac equation of motion. Binding forces and a total stressmomentumenergy tensor are derived for the charged insulator model. Appendices provide simplified derivations of the selfforce and power at arbitrary velocity. In this third edition, some of the history has been made more accurate and some of the derivations have been simplified and clarified. A detailed threevector exact solution to the LandauLifshitz approximate equation of motion is given for the problem of an electron traveling in a counterpropagating planewave laserbeam pulse. Semiclassical analyses are used to derive the conditions that determine the significance of quantum effects not included in the classical equation of motion. The book is a valuable resource for students and researchers in physics, engineering, and the history of science 
ISBN,Price  9783031060670 
Keyword(s)  1. Accelerator Physics
2. CLASSICAL ELECTRODYNAMICS
3. CLASSICAL MECHANICS
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK  SPRINGER
7. ELECTRODYNAMICS
8. MATHEMATICAL PHYSICS
9. MECHANICS
10. PARTICLE ACCELERATORS
11. SPECIAL RELATIVITY
12. Special relativity (Physics)

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Call#  Status  Issued To  Return Due On  Physical Location 
I12221 


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5.


Title  Effects of Nonlocality in Gravity and Quantum Theory 
Author(s)  Boos, Jens 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIX, 210 p. 37 illus., 33 illus. in color : online resource 
Abstract Note  This thesis is devoted to the systematic study of nonlocal theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom. Such theories are attractive for phenomenological applications since they are mostly unconstrained by current experiments. Nonlocality has played an increasingly important role in the physics of the last decades, appearing in effective actions in quantum field theory, and arising naturally in string theory and noncommutative geometry. It may even be a necessary ingredient for quantum theories of gravity. It is a feature of quantum entanglement, and may even solve the longstanding black hole information loss problem. ???Nonlocality??? is a broad concept with many promising and fruitful applications in theoretical and mathematical physics. After a historical and pedagogical introduction into the concept of nonlocality the author develops the notion of nonlocal Green functions to study various nonlocal weakfield problems in quantum mechanics, quantum field theory, gravity, and quantum field theory in curved spacetime. This thesis fills a gap in the literature by providing a selfcontained exploration of weakfield effects in nonlocal theories, thereby establishing a ???nonlocal intuition??? which may serve as a stepping stone for studies of the full, nonlinear problem of nonlocality 
ISBN,Price  9783030829100 
Keyword(s)  1. Classical and Quantum Gravity
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. Fundamental concepts and interpretations of QM
6. GRAVITATION
7. MATHEMATICAL PHYSICS
8. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11881 


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6.


Title  Equations and Analytical Tools in Mathematical Physics : A Concise Introduction 
Author(s)  Zhu, Yichao 
Publication  Singapore, Springer Nature Singapore, 2021. 
Description  XII, 252 p. 37 illus., 29 illus. in color : online resource 
Abstract Note  This book highlights a concise and readable introduction to typical treatments of partial differential equations in mathematical physics. Mathematical physics is regarded by many as a profound discipline. In conventional textbooks of mathematical physics, the known and the new pieces of knowledge often intertwine with each other. The book aims to ease readers' struggle by facilitating a smooth transition to new knowledge. To achieve so, the author designs knowledge maps before each chapter and provides comparative summaries in each chapter whenever appropriate. Through these unique ways, readers can clarify the underlying structures among different equations and extend one's vision to the big picture. The book also emphasizes applications of the knowledge by providing practical examples. The book is intended for all those interested in mathematical physics, enabling them to develop a solid command in using partial differential equations to solve physics and engineering problems in a notsopainful learning experience 
ISBN,Price  9789811654411 
Keyword(s)  1. Applications of Mathematics
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. Mathematical Methods in Physics
6. MATHEMATICAL PHYSICS
7. MATHEMATICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11851 


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7.


Title  Classical Beam Theories of Structural Mechanics 
Author(s)  ??chsner, Andreas 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIII, 186 p. 160 illus., 70 illus. in color : online resource 
Abstract Note  This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shearrigid) according to EulerBernoulli, and the theories for thick beams (shearflexible) according to Timoshenko and Levinson. The understanding of basic, i.e., onedimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for onedimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higherorder structural members. The new approach in this textbook is that it treats singleplane bending in the xy plane as well in the xz plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these onedimensional members allows a simpler understanding of thin and thick plate bending members. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic 
ISBN,Price  9783030760359 
Keyword(s)  1. CONTINUUM MECHANICS
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. Mechanics, Applied
6. Solid Mechanics
7. SOLIDS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11828 


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8.


Title  Yang???Baxter Deformation of 2D NonLinear Sigma Models : Towards Applications to AdS/CFT 
Author(s)  Yoshida, Kentaroh 
Publication  Singapore, Springer Nature Singapore, 2021. 
Description  XII, 70 p. 2 illus : online resource 
Abstract Note  In mathematical physics, one of the fascinating issues is the study of integrable systems. In particular, nonperturbative techniques that have been developed have triggered significant insight for real physics. There are basically two notions of integrability: classical integrability and quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number of degrees of freedom, it has been well captured by the Arnold???Liouville theorem. However, when the number of degrees of freedom is infinite, as in classical field theories, the integrable structure is enriched profoundly. In fact, the study of classically integrable field theories has a long history and various kinds of techniques, including the classical inverse scattering method, which have been developed so far. In previously published books, these techniques have been collected and well described and are easy to find in traditional, standard textbooks. One of the intriguing subjects in classically integrable systems is the investigation of deformations preserving integrability. Usually, it is not considered systematic to perform such a deformation, and one must study systems case by case and show the integrability of the deformed systems by constructing the associated Lax pair or actionangle variables. Recently, a new, systematic method to perform integrable deformations of 2D nonlinear sigma models was developed. It was invented by C. Klimcik in 2002, and the integrability of the deformed sigma models was shown in 2008. The original work was done for 2D principal chiral models, but it has been generalized in various directions nowadays. In this book, the recent progress on this Yang???Baxter deformation is described in a pedagogical manner, including some simple examples. Applications of Yang???Baxter deformation to string theory are also described briefly. 
ISBN,Price  9789811617034 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL PHYSICS
5. SPECIAL FUNCTIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11819 


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9.


Title  Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems 
Author(s)  Marinca, Vasile;Herisanu, Nicolae;Marinca, Bogdan 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIII, 479 p. 442 illus., 414 illus. in color : online resource 
Abstract Note  This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of ???optimal auxiliary functions??? which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergencecontrol parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books ???Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches???, Springer2011 and ???The Optimal Homotopy Asymptotic Method. Engineering Applications???, Springer2015 
ISBN,Price  9783030756536 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Engineering Fluid Dynamics
5. FLUID MECHANICS
6. FLUIDS
7. Soft condensed matter
8. Surfaces (Technology)
9. Surfaces, Interfaces and Thin Film
10. THERMODYNAMICS
11. THIN FILMS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11650 


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10.
 
Title  Asymptotic Representation of Relaxation Oscillations in Lasers 
Author(s)  Grigorieva, Elena V;Kaschenko, Sergey A 
Publication  Cham, Springer International Publishing, 2017. 
Description  VIII, 230 p. 73 illus : online resource 
Abstract Note  In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors. With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differentialdifference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of largeamplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others. The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations 
ISBN,Price  9783319428604 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Engineering Fluid Dynamics
5. FLUID MECHANICS
6. LASERS
7. MATHEMATICAL PHYSICS
8. Optics, Lasers, Photonics, Optical Devices
9. ORDINARY DIFFERENTIAL EQUATIONS
10. PHOTONICS
11. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I10175 


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