Backlund Transformations The Inverse Scattering Method Solitons And Their Applications
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Backlund Transformations The Inverse Scattering Method Solitons And Their Applications
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Author : Robert M. Miura
language : en
Publisher:
Release Date : 2014-01-15
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications written by Robert M. Miura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications
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Author : Robert M. Miura
language : en
Publisher:
Release Date : 1974
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications written by Robert M. Miura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Bäcklund transformations categories.
Backlund Transformations
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Author : Robert M. Miura
language : en
Publisher:
Release Date : 1976
Backlund Transformations written by Robert M. Miura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Contact transformations categories.
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications
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Author : Robert M. Miura
language : en
Publisher:
Release Date : 1976
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications written by Robert M. Miura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications
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Author : Robert M. Miura
language : en
Publisher: Springer
Release Date : 2006-11-14
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications written by Robert M. Miura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Backlund Transformations
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Author :
language : en
Publisher:
Release Date : 1976
Backlund Transformations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Contact transformations categories.
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications Papers
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Author : Robert M. Miura
language : en
Publisher:
Release Date : 1976
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications Papers written by Robert M. Miura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Backlund transformations categories.
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications
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Author : Martin L. Silverstein
language : en
Publisher:
Release Date : 1976
B Cklund Transformations The Inverse Scattering Method Solitons And Their Applications written by Martin L. Silverstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Contact transformations categories.
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications Papers Presented At A Nsf Research Workshop On Contact Transformations National Science Foundation
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Author : NATIONAL SCIENCE FOUNDATION.
language : en
Publisher:
Release Date :
Backlund Transformations The Inverse Scattering Method Solitons And Their Applications Papers Presented At A Nsf Research Workshop On Contact Transformations National Science Foundation written by NATIONAL SCIENCE FOUNDATION. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Inverse Scattering Problems And Their Application To Nonlinear Integrable Equations
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Author : Pham Loi Vu
language : en
Publisher: CRC Press
Release Date : 2023-05-15
Inverse Scattering Problems And Their Application To Nonlinear Integrable Equations written by Pham Loi Vu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-15 with Mathematics categories.
Inverse Scattering Problems and Their Applications to Nonlinear Integrable Equations, Second Edition is devoted to inverse scattering problems (ISPs) for differential equations and their applications to nonlinear evolution equations (NLEEs). The book is suitable for anyone who has a mathematical background and interest in functional analysis, differential equations, and equations of mathematical physics. This book is intended for a wide community working with ISPs and their applications. There is an especially strong traditional community in mathematical physics. In this monograph, the problems are presented step-by-step, and detailed proofs are given for considered problems to make the topics more accessible for students who are approaching them for the first time. New to the Second Edition All new chapter dealing with the Bäcklund transformations between a common solution of both linear equations in the Lax pair and the solution of the associated IBVP for NLEEs on the half-line Updated references and concluding remarks Features Solving the direct and ISP, then solving the associated initial value problem (IVP) or initial-boundary value problem (IBVP) for NLEEs are carried out step-by-step. The unknown boundary values are calculated with the help of the Lax (generalized) equations, then the time-dependent scattering data (SD) are expressed in terms of preassigned initial and boundary conditions. Thereby, the potential functions are recovered uniquely in terms of the given initial and calculated boundary conditions. The unique solvability of the ISP is proved and the SD of the scattering problem is described completely. The considered ISPs are well-solved. The ISPs are set up appropriately for constructing the Bӓckhund transformations (BTs) for solutions of associated IBVPs or IVPs for NLEEs. The procedure for finding a BT for the IBVP for NLEEs on the half-line differs from the one used for obtaining a BT for non-linear differential equations defined in the whole space. The interrelations between the ISPs and the constructed BTs are established to become new powerful unified transformations (UTs) for solving IBVPs or IVPs for NLEEs, that can be used in different areas of physics and mechanics. The application of the UTs is consistent and efficiently embedded in the scheme of the associated ISP.