B?cklund transformation and multiple soliton solutions for the (3+1)-dimensional Jimbo-Miwa equation |
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Authors: | Zhang Jie-Fang and Wu Feng-Min |
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Institution: | Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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Abstract: | We study an approach to constructing multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Jimbo-Miwa (JM) equation as an example. Using the extended homogeneous balance method, one can find a B?cklund transformation to decompose the (3+1)-dimensional JM equation into a linear partial differential equation and two bilinear partial differential equations. Starting from these linear and bilinear partial differential equations, some multiple soliton solutions for the (3+1)-dimensional JM equation are obtained by introducing a class of formal solutions. |
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Keywords: | soliton homogeneous balance method (3+1)-dimensions JM equation |
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