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


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.


Statistical Physic Group Theory Variable Coefficient Vries Equation MKdV Equation 
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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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