Title Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5???12, 1999 Author(s) Conte, Robert M;Magri, Franco;Musette, Micheline;Satsuma, Junkichi;Winternitz, Pavel;Greco, Antonio Maria Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 2003. Description XI, 279 p : online resource Abstract Note Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities ?? la Painlev??, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved ISBN,Price 9783540398080 Keyword(s) 1. COMPLEX SYSTEMS 2. DIFFERENTIAL GEOMETRY 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. PARTIAL DIFFERENTIAL EQUATIONS 8. PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I10544     On Shelf