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Letters in Mathematical Physics

, Volume 14, Issue 4, pp 293–301 | Cite as

Solutons of a nonisospectral and variable coefficient Korteweg-de Vries equation

  • W. L. Chan
  • Zheng Yu-Kun
Article

Abstract

A new type of KdV equation with a nonisospectral Lax pair as well as variable coefficients is introduced. Its Lax pair is shown to be invariant under the Crum transformation. This leads to a Bäcklund transformation for the KdV equation and, hence, a method for solutions via an associated nonisospectral variable coefficient MKdV equation. Three generations of solutions are given. The 1-soliton solution shares the novel phenomenology associated with the boomeron, trappon, and zoomeron of Calogero and Degasperis.

Keywords

Statistical Physic Group Theory Variable Coefficient Vries Equation MKdV Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • W. L. Chan
    • 1
  • Zheng Yu-Kun
    • 1
  1. 1.Department of Mathematics, Science CentreThe Chinese University of Hong KongShatin, N.T.Hong Kong

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