一类广义（2+1）维BKP方程的新孤子解

摘要

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 solu-tions,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 mathe-matical physics.%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。