(2+1)维耗散长波方程的新精确解及其演化

New Exact Solutions and Soliton Evolvements for the(2+1)-dimensional Dispersive Long Wave Equation

在Mathematica符号计算软件的帮助下,利用拓展的G'/G展开法和变量分离法,得到(2+1)维耗散长波方程的新精确解,通过选取合适的函数,可以构造出dromion解、Solitoff解、周期孤波解等,并进一步研究孤子随时间的演化过程.

With the help of the symbolic computation system Mathematica and an extended G’/G-expansion method and a variable separation method,new exact solutions of the(2+1)-dimensional dispersive long wave equation are derived.By selecting the appropriate function,we can construct drom ion solution,solitoff solution,periodic solitary wave solution,and further study the evolution of soliton with time.