Zhang Jie-Fang and Wu Feng-Min 2002 Chinese Phys. 11 425 doi:10.1088/1009-1963/11/5/303
Zhang Jie-Fang and Wu Feng-Min
Show affiliationsWe 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 Bäcklund 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.
Issue 5 ( 1 May 2002)
Received 13 September 2001, in final form 20 December 2001
Zhang Jie-Fang and Wu Feng-Min 2002 Chinese Phys. 11 425
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