【摘要】 为求解一类典型的非线性微分方程——广义(2+1)维BKP方程,利用sine-cosine方法和tanh方法,求得该方程的一系列精确解,包括孤立波解、孤立波型解和紧解。通过方程的求解,证明sine-cosine方法和tanh方法是求解非线性数学物理方程的有力工具。更多还原

【Abstract】 The sine-cosine method and tanh method are used to construct exact solitary wave,solitary pattern and compacton solutions of the generalized( 2 + 1)-dimensional nonlinear evolution equation. The compacton solutions,solitary wave solutions,and solitary pattern solutions of the generalized( 2 + 1)-dimensional BKP equation are obtained. It is shown that the sine-cosine method tanh method are powerful tools for solving a great many nonlinear partial differential equations in mathematical physics.更多还原