【摘要】 研究了一类含线性和非线性色散项的新型浅水波方程即Dullin-Gottwald-Holm方程(简称为DGH方程)的2-孤子解。利用反散射方法建立了DGH方程的反散射求解方程,在不考虑反射的情况下,利用方程的散射数据,借助于Matlab数学软件,以参数形式给出了DGH方程的2-孤子解。最后给出了几个取特殊值时解的波形图,从而清楚地显示了孤波之间的相互作用。更多还原

【Abstract】 Two-soliton solutions are studied for a new nonlinear dispersive shallow water wave equations,named Dullin-Gottwald-Holm equation(i.e.DGH equation).Using the inverse scattering transform method,the inverse scattering solving equation of the DGH equation is established.In the case of reflectionless potentials,the known two-soliton solution in a simple parametric form by using the scattering data of equation and M atlab packages is represented.Finally,a few examples of the two-soliton solution profile are presented,which show the familiar phase shift generated by the nonlinear interaction.更多还原