摘要
讨论具有方程组形式的形变Boussinesq方程的对称群及其行波解.通过研究方程组所允许的Lie对称群得到该方程组的解有行波解,并将方程组约化为非线性的常微分方程组,再利用广义Tanh方法,得到形变Boussinesq方程的行波解.
To study the symmetry group properties and similarity solutions of the variant Boussinesq equation in the form of system of nonlinear partial differential equations. Lie symmetry group analysis of the variant Boussinesq equation presents that the similarity solution are only in the form of the traveling wave solutions. The symmetry groups yield the general reduced similarity form of the system , which is in the system of nonlinear ordinary differential equations. By using the improved tanh function method, the similarity solutions are obtained from the reduced system of equations.
出处
《纯粹数学与应用数学》
CSCD
2009年第1期107-111,共5页
Pure and Applied Mathematics
基金
国家自然科学基金(10671156).
