Modified Nizhnik-Novikov-Veselov方程的对称和精确解(英文)

Symmetries and New Exact Solutions of Modified Nizhnik-Novikov-Veselov Equations

利用李群对称方法得到了(2+1)维Modified Nizhnik-Novikov-Veselov(MNNV)方程的对称和相似约化,并借助辅助函数法如G'/G法,Riccati方程法求解约化方程从而得到MN-NV方程的群不变解和一些新的精确解,这些精确解包括相似解,孤立波解和艾里函数解.

By using Lie group method,we obtain some symmetries and similarity reductions of（2＋1）-dimensional Modified Nizhnik-Novikov-Veselov（MNNV） equations.Through the aid of the auxiliary function method such as G′/G method and Riccati equation method to solve the reduced equations and some new exact solutions such as similarity solutions,solitary wave solution and Airy function solutions of MNNV equations are presented.