摘要
对于非线性波动方程u_(tt)+αu_(xxxx)=β_(u_x^2)_x,首先假定其解具有双曲正切函数幂级数展开形式,然后通过领头项分析得到它的截断表示,从而求出该方程的几组孤波解。
For solving the nonliner wave equation un + αuxxxx = β(u_x^2)x, the power series expanding of hyperbolic tangent function is supposed as its quasi - solution, and then through analysis of the leading order terms , the form of its terminating solution is given, finally a few of its solitary wave solutions can be gained .
