变系数(2+1)维Nizhnik-Novikov-Vesselov方程的三孤子新解

New three-soliton solutions to (2+1)-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients

本文为获得非线性发展方程的相互作用解,研究了辅助方程法,并扩展应用辅助方程法和(G′/G)展开法,获得了变系数非线性(2+1)维Nizhnik-Novikov-Vesselov方程的由椭圆函数、双曲函数、三角函数和有理函数混合构成的新相互作用解.

In this paper, in order to obtain new solutions to nonlinear evolution equations, the auxiliary equation method and （G′/G）-expansion method are studied and extended. By using the method, many new exact solutions of the nonlinear （2＋1）-dimensional Nizhnik-Novikov-Vesselov equations with variable coefficients are obtained. The interaction new solutions include Jacobi elliptic function, hyperbolic function, triangular function and rational function.