Integrals of Nonlinear Equations of Evolution and Solitary Waves (Classic Reprint) - Couverture souple

Peter D. Lax

9781332144877: Integrals of Nonlinear Equations of Evolution and Solitary Waves (Classic Reprint)

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ISBN 10 : 133214487X ISBN 13 : 9781332144877

Editeur : Forgotten Books, 2020

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�diteurForgotten Books
Date d'�dition2020
ISBN 10 133214487X
ISBN 13 9781332144877
ReliureBroch�
Langueanglais
Nombre de pages63

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9780343201340: Integrals of Nonlinear Equations of Evolution and Solitary Waves

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ISBN 10 : 0343201348 ISBN 13 : 9780343201340
Editeur : Franklin Classics, 2018
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Integrals of Nonlinear Equations of Evolution and Solitary Waves

Peter D. Lax

Edit� par Forgotten Books, 2020

ISBN 10 : 133214487X ISBN 13 : 9781332144877

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Paperback. Etat : 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 Schr� 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. N� de r�f. du vendeur 9781332144877_0

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