高阶(2+1)维色散长波方程的孤波解

Solitary Wave Solutions for (2+1)-Dimensional Dispersive Long Wave Equations

为了求高阶 ( 2 +1 )维色散长波方程的精确解 ,先通过变换将其变为一个简单的方程 ,然后利用各种方法求该方程的精确解 ,最后再通过变换得到了高阶 ( 2 +1 )维色散长波方程的若干新孤波解 .本文简化了求非线性模型精确解的双曲正切函数法、双曲函数法。

In order to seek for new solitary wave solutions, a simple equationis obtained by taking a transformation on (2+1)-dimensional dispersive long wave equations. Then, some methods are used to solve it and, by using the transformation again, some new solitary wave solutions for (2+1)-dimensional dispersive long wave equations are obtained. In addition, some new N-soliton solutions are found too by introducing some undetermined coefficients. The method can be used to simplify tanh-function method, hyperbolic function method, homogeneous balance method and extended tanh-function method and to solve other nonlinear partial differential equations.