New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional KP equation with variable coefficients
Chen Huai-Tang (陈怀堂)ab, Zhang Hong-Qing (张鸿庆)a
a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; b Department of Mathematics, Linyi Teachers University, Shandong Linyi 276005, China
Abstract A new generalized Jacobi elliptic function method is used to construct the exact travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation which has more new solutions. More new doubly periodic and multiple soliton solutions are obtained for the generalized (3+1)-dimensional Kronig－Penny (KP) equation with variable coefficients. This method can be applied to other equations with variable coefficients.
Received: 17 February 2003
Revised: 27 May 2003
Accepted manuscript online:
(Ordinary and partial differential equations; boundary value problems)
Fund: Project supported by the National Key Basic Research Development Program of China (Grant No 1998030600), and the National Natural Science Foundation of China (Grant No 10072013).
Cite this article:
Chen Huai-Tang (陈怀堂), Zhang Hong-Qing (张鸿庆) New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional KP equation with variable coefficients 2003 Chinese Physics 12 1202
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