广义Boussinesq方程的精确行波解研究

Study on the exact travelling wave solution of the generalized Boussinesq equation

利用辅助函数法,把广义Boussinesq方程转化为代数方程组进行求解,并运用Maple软件计算得出非线性广义Boussinesq方程的10组精确行波解,解的形式丰富多样;利用该解题思路还可以求解推广的Kd V方程和耦合的薛定谔方程的精确行波解.

The auxiliary functions method was used to solve the generalized Boussinesq equations by transforming them into solving the algebraic equations. By the further application of the Maple software,ten exact travelling wave solutions of nonlinear generalized Boussinesq equation were gotten,which were abundant.Besides,the exact travelling wave solutions of the generalized Kd V equations and the nonlinear coupled Schrodinger system will be gotten in this way.