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Bilinear Bäcklund Transformation for a Variable-Coefficient Kadomtsev–Petviashvili Equation |
| WU Jian-Ping
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Institute of Electronic Technology, Information Engineering University, Zhengzhou 450004
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WU Jian-Ping 2011 Chin. Phys. Lett. 28 060207 |
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Abstract Resorting to the Hirota bilinear form, a bilinear Bäcklund transformation (BT) is obtained for a variable-coefficient Kadomtsev–Petviashvili equation. As applications, based on the resulting bilinear BT, single-soliton solutions and two-soliton solutions together with their soliton characteristics are presented for the equation. Furthermore, starting from the bilinear BT, a Lax pair and a new variable-coefficient (2+1)-dimensional nonlinear evolution equation is derived.
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02.30.Jr
05.45.Yv
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Received: 18 February 2011
Published: 29 May 2011
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