中国物理B ›› 2002, Vol. 11 ›› Issue (5): 425-428.doi: 10.1088/1009-1963/11/5/303
张解放, 吴锋民
Zhang Jie-Fang (张解放), Wu Feng-Min (吴锋民)
摘要: 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.
中图分类号: (Partial differential equations)