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Excerpt from Integrals of Nonlinear Equations of Evolution and Solitary Waves
In section 1 we present a general principle for associating nonlinear equations of evolutions with linear Operators so that the eigenvalues of the linear operator are integrals of the nonlinear equation. A striking instance of such a procedure is the discovery by Gardner, Miura and Kruskal that the eigenvalues of the Schrodinger operator are integrals of the Korteweg de Vries equation.
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Biografía del autor
Peter D. Lax, PhD, is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences at New York University. Dr. Lax is the recipient of the Abel Prize for 2005 "for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." * A student and then colleague of Richard Courant, Fritz John, and K. O. Friedrichs, he is considered one of the world's leading mathematicians. He has had a long and distinguished career in pure and applied mathematics, and with over fifty years of experience in the field, he has made significant contributions to various areas of research, including integratable systems, fluid dynamics, and solitonic physics, as well as mathematical and scientific computing.
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- EditorialForgotten Books
- Año de publicación2018
- ISBN 10 133214487X
- ISBN 13 9781332144877
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas64
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Integrals of Nonlinear Equations of Evolution and Solitary Waves
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: New. Print on Demand. This book presents a general method for associating nonlinear equations of evolution with linear operators and their eigenvalues. The principal subject of this study is the Korteweg-de Vries (KdV) equation, relevant for hydromagnetic waves and acoustic waves in anharmonic crystals. Using the method, the author demonstrates that the eigenvalues of the Schrà dinger operator are integrals of the KdV equation. It is also shown that higher order KdV equations share properties with a sequence of invariants. The author further explores the interaction of solitary waves within the context of the KdV equation. Through rigorous mathematical derivations and analysis of numerical calculations made by other researchers, an in-depth study is conducted on the asymptotic behavior and time history of these waves. These solitary waves are shown to exhibit remarkable properties, interacting in a manner that depends on the ratio of their speeds and undergoing processes of absorption, reemission, and splitting apart. The approach presented in this book offers a novel perspective on the study of nonlinear equations of evolution and provides valuable insights into the behavior of solitary waves within the KdV equation. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781332144877_0
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332144877
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Integrals of Nonlinear Equations of Evolution and Solitary Waves Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332144877
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Lax, P: Integrals of Nonlinear Equations of Evolution and So
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Condición: New. KlappentextrnrnExcerpt from Integrals of Nonlinear Equations of Evolution and Solitary WavesIn section 1 we present a general principle for associating nonlinear equations of evolutions with linear Operators so that the eigenvalues of th. Nº de ref. del artículo: 2147928321
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