Solitons / P. G. Drazin.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 85Publisher: Cambridge : Cambridge University Press, 1983Description: 1 online resource (148 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662843 (ebook)Subject(s): SolitonsAdditional physical formats: Print version: : No titleDDC classification: 532/.0593 LOC classification: QA927 | .D69 1983Online resources: Click here to access online Summary: 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.
E-BOOKS
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| IMSc Library | IMSc Library | Link to resource | Available | EBK12143 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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