Title New Approaches to Nonlinear Waves Author(s) Tobisch, Elena Publication Cham, Springer International Publishing, 2016. Description XV, 298 p. 65 illus., 15 illus. in color : online resource Abstract Note The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters are devoted to wave systems possessing resonances with linear frequencies (Chapter 2) and with nonlinear frequencies (Chapter 3). In the next two chapters modulation instability in the KdV-type of equations is studied using rigorous mathematical methods (Chapter 4) and its possible connection to freak waves is investigated (Chapter 5). The book goes on to demonstrate how the choice of the Hamiltonian (Chapter 6) or the Lagrangian (Chapter 7) framework allows us to gain a deeper insight into the properties of a specific wave system. The final chapter discusses problems encountered when attempting to verify the theoretical predictions using numerical or laboratory experiments. All the chapters are illustrated by ample constructive examples demonstrating the applicability of these novel methods and approaches to a wide class of evolutionary dispersive PDEs, e.g. equations from Benjamin-Oro, Boussinesq, Hasegawa-Mima,?? KdV-type,?? Klein-Gordon, NLS-type, Serre,?? Shamel , Whitham and Zakharov. This makes the book interesting for professionals in the fields of nonlinear physics, applied mathematics and fluid mechanics as well as students who are studying these subjects. The book can also be used as a basis for a one-semester lecture course in applied mathematics or mathematical physics. ?? ?? ISBN,Price 9783319206905 Keyword(s) 1. Classical and Continuum Physics 2. COMPLEX SYSTEMS 3. Continuum physics 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. GEOPHYSICS 8. Geophysics and Environmental Physics 9. MATHEMATICAL PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. Theoretical, Mathematical and Computational Physics Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I10244     On Shelf