求Nizhnik-Novikov-Veselov方程新精确解(英文)  

New exact solutions of the Nizhnik-Novikov-Veselov equation

作　　者：王雷[1] 夏铁成[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2011年第1期20-29,共10页Communication on Applied Mathematics and Computation

基　　金：Project supported by the National Natural Science Foundation of China(61072147,11071159);the Natural Science Foundation of Shanghai Municipality(09ZR1410800),the Science Foundation of Key Laboratory of Mathematics Mechanization(KLMM0806);the Shanghai Leading Academic Discipline Project (J50101)

摘　　要：引入改进的F-广义方法,并将其应用于(2+1)维Nizhnik-Novikov-Veselov(NNV)方程.在符号计算软件的帮助下,可以得到NNV方程的许多新解.该方法用于获取包括雅可比椭圆函数解的一系列解,在数学物理中可应用于其他的非线性偏微分方程.An improved F-generalized method is introduced and applied to（2＋1）- dimensional Nizhnik-Novikov-Veselov（NNV） equation.With the aid of symbolic computation,we can get many new solutions of the NNV equation.The method is used to obtain a series of solutions including Jacobi elliptic function solutions,which can be applied to other nonlinear partial differential equations in mathematical physics.

关 键 词：F扩展方法 雅可比函数解 孤立波解 三角函数解 

分 类 号：O175.29[理学—数学]