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  1. Home
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  3. Solitons
  • Cited by 78
Publisher:
Cambridge University Press
Online publication date:
March 2010
Print publication year:
1983
Online ISBN:
9780511662843
DOI:
https://doi.org/10.1017/CBO9780511662843
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Fluid Dynamics and Solid Mechanics
Series:
London Mathematical Society Lecture Note Series (85)
Information

Book description

A 'soliton' is a localized nonlinear wave of permanent form which may interact strongly with other solitons so that when they separate after the interaction they regain their original forms. This textbook is an account of the theory of solitons and of the diverse applications of the theory to nonlinear systems arising in the physical sciences. The essence of the book is an introduction to the method of inverse scattering. Solitary waves, cnoidal waves, conservation laws, the initial-value problem for the Korteweg-de Vries equation, the Lax method, the sine-Gordon equation and Backlund transformations are treated. The book will be useful for research workers who wish to learn about solitons as well as graduate students in mathematics, physics and engineering.

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