Integrals of Nonlinear Equations of Evolution and Solitary Waves

Lingua: inglese

Editore: Forgotten Books, 2018

133214487X / 9781332144877

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Da: Forgotten Books, London, Regno UnitoForgotten Books

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Venditore AbeBooks dal 2 giugno 2021

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Descrizione dell’articolo da parte del venditore

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. …

Codice articolo 9781332144877_0

Titolo
Integrals of Nonlinear Equations of Evolution and Solitary Waves
Autore
Peter D. Lax
Editore
Forgotten Books
Anno di pubblicazione
2018
Condizione
New
Tipo di libro
print-on-demand item
Rilegatura
Paperback
Lingua
inglese
ISBN 10
133214487X
ISBN 13
9781332144877
Cataloghi dei venditori
Calculus

Forgotten Books

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 2 giugno 2021

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 5 a 10 giorni lavorativiDa 5 a 10 giorni lavorativi
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Descrizione dello Store

Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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