Two BT-VSA Solvable Models |
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| Authors: | SHEN Shou-Feng |
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| Institution: | Department of Mathematics, Zhejiang University of
Technology, Hangzhou 310014, China |
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| Abstract: | Variable separation approach that is based on Backlund transformation (BT-VSA) is extended to solve the (3 1)-dimensional Jimbo-Miwa equation and the (1 1)-dimensional Drinfel'd-Sokolov-Wilson equation. New ex act solutions, which include some low-dimensional functions, are obtained. One of the low-dimensional function is arbitrary and another must satisfy a Riccati equation. Some new localized excitations can be derived from (2 1)-dimensional localized excitations and for simplification, we omit those in this letter. |
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| Keywords: | Jimbo-Miwa equation Drinfel'd-Sokolov-Wilson equation variable separation Backlund transformation exact solution |
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