组合KdV方程钟状解的定性分析及求解

Qualitative Analysis and Solving Method of the Bell Profile Solution for the Combined KdV Equation

利用平面动力系统理论和方法研究了组合KdV方程钟状孤波解的存在性,然后借助待定假设方法求得了这类方程所有可能的钟状孤波解.

Existence of bell profile solitary wave solitions of the combined KdV equation are discussed by using the theory and method of plane dynamical system, then all impossible bell profile solitary wave solutions of the equation are obtained using undetermined coefficient method.