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求Nizhnik-Novikov-Veselov方程新精确解(英文)
New exact solutions of the Nizhnik-Novikov-Veselov equation
【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.
【Abstract】 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;
【Key words】 F-expansion method; Jacobi elliptic functions; solitary wave solutions; trigonometric function solution;
【Key words】 F-expansion method; Jacobi elliptic functions; solitary wave solutions; trigonometric function solution;
【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)
- 【文献出处】 应用数学与计算数学学报 ,Communication on Applied Mathematics and Computation , 编辑部邮箱 ,2011年01期
- 【分类号】O175.29
- 【被引频次】1
- 【下载频次】60