Bäcklund transformations and soliton solutions for the KdV6 equation |
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| Authors: | Yi Zhang Xiao-lan DangHong-xian Xu |
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| Affiliation: | Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China |
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| Abstract: | Using Hirota technique, a Bäcklund transformation in bilinear form is obtained for the KdV6 equation. Furthermore, we present a modified Bäcklund transformation by a dependent variable transformation, it is shown that a new representation of N-soliton solution and some novel solutions to the KdV6 equation are derived by performing an appropriate limiting procedure on the known soliton solutions. |
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| Keywords: | Bä cklund transformation KdV6 equation Bilinear method Soliton solutions Limiting solutions |
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