Solutons of a nonisospectral and variable coefficient Korteweg-de Vries equation |
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Authors: | W L Chan Zheng Yu-Kun |
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Institution: | (1) Department of Mathematics, Science Centre, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong |
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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. |
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