Nizhnik-Novikov-Vesselov方程的无穷序列类孤子精确解

Infinite sequence soliton-like exact solutions of Nizhnik-Novikov-Vesselov equation

为了构造非线性发展方程的无穷序列类孤子精确解,发掘第一种椭圆辅助方程的构造性和机械化性特点,获得了该方程的一些新类型解和相应的Bcklund变换.在此基础上利用符号计算系统Mathematica构造了Nizhnik-Novikov-Vesselov方程的无穷序列类孤子精确解,包括无穷序列光滑类孤子解、无穷序列类尖峰孤立子解和无穷序列类紧孤立子解.

To construct the infinite sequence soliton-like exact solutions of nonlinear evolution equations and develop the characteristics of constructivity and mechanization of the first kind of elliptic equation,new type of solutions and the corresponding Bcklund transformation of the equation are presented.Based on this,infinite sequence soliton-like exact solutions of Nizhnik-Novikov-Vesselov equation are obtained with the help of symbolic computation system Mathematica,which includes infinite sequence smooth solitonlike solutions,infinite sequence peak soliton-like solutions and infinite sequence compact soliton-like solutions.