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Spectral Methods In Soliton Equations
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Spectral Methods In Soliton Equations Hardcover - 1994

by Iliev, I D


From the publisher

Soliton theory as a method for solving some classes of nonlinear evolution equations (soliton equations) is one of the most actively developing topics in mathematical physics. This book presents some spectral theory methods for the investigation of soliton equations ad the inverse scattering problems related to these equations. The authors give the theory of expansions for the Sturm-Liouville operator and the Dirac operator. On this basis, the spectral theory of recursion operators generating Korteweg-de Vries type equations is presented and the Ablowitz-Kaup-Newell-Segur scheme, through which the inverse scattering method could be understood as a Fourier-type transformation, is considered. Following these ideas, the authors investigate some of the questions related to inverse spectral problems, i.e. uniqueness theorems, construction of explicit solutions and approximative methods for solving inverse scattering problems. A rigorous investigation of the stability of soliton solutions including solitary waves for equations which do not allow integration within inverse scattering method is also presented.

Details

  • Title Spectral Methods In Soliton Equations
  • Author Iliev, I D
  • Binding Hardcover
  • Edition First
  • Pages 400
  • Language ENG
  • Publisher Chapman and Hall/CRC
  • Date 1994
  • ISBN 9780582239630
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Spectral Methods in Soliton Equations
Stock Photo: Cover May Be Different

Spectral Methods in Soliton Equations

by I D Iliev, Eugeni Khristov et Kiril Petrov Kirchev

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Hardcover
ISBN 10 / ISBN 13
9780582239630 / 058223963x
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Description:
CRC Press, 1994. Hardcover. Very Good. Former library book. Edition 1994. Ammareal gives back up to 15% of this item's net price to charity organizations.
Item Price
NZ$280.73
NZ$20.43 shipping to USA