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.
General
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