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引用次数: 2
摘要
本文利用孤立波分析得到了(2+1)维反应扩散方程、(3+1)维广义b型Kadomtsev-Petviashvili (gBKP)方程和(3+1)维boti - leon - manna - pempinelli (BLMP)方程的暗孤子解。采用了Ansatz方法来实现这种集成。给出了各方程存在暗孤子解的约束关系。
New exact solution for (2+1) and (3+1) dimensional nonlinear partial differential equations
In this paper, dark soliton solutions have been obtained for the (2+1)-dimensional reaction-diffusion equation, the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili (gBKP) equation and the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation using the solitary wave ansatz. Ansatz approach is utilized to carry out this integration. The constraint relations for each of the equations are given for the existence of dark soliton solutions.
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