Expanded (G/G2) Expansion Method to Solve Separated Variables for the 2+1-Dimensional NNV Equation

被引:4
作者
Meng, Yong [1 ]
机构
[1] Ningbo Univ, Coll Sci, Ningbo 315211, Zhejiang, Peoples R China
关键词
SOLITARY WAVE SOLUTIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; DE-VRIES EQUATION; MATHEMATICAL PHYSICS; NONLINEAR EQUATIONS; SYMBOLIC COMPUTATION; BURGERS-EQUATION;
D O I
10.1155/2018/9248174
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The traditional (G/G(2)) expansion method is modified to extend the symmetric extension to the negative power term in the solution to the positive power term. The general traveling wave solution is extended to a generalized solution that can separate variables. By using this method, the solution to the detached variables of the symmetric extended form of the 2+1-dimensional NNV equation can be solved, also the soliton structure and fractal structure of Dromion can be studied well.
引用
收藏
页数:6
相关论文
共 23 条
[1]  
Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering
[2]  
[Anonymous], 1993, GRADUATE TEXTS MATH
[3]  
Bluman G W., 1989, APPL MATH SCI, V81, pXIII
[4]  
Eslami M, 2016, NONLINEAR DYNAM, V85, P813, DOI 10.1007/s11071-016-2724-2
[5]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[6]   Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics [J].
Gao, YT ;
Tian, B .
COMPUTER PHYSICS COMMUNICATIONS, 2001, 133 (2-3) :158-164
[7]   Deformed Korteweg-De Vries equation with symbolic computation [J].
Gao, YT ;
Tian, B .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2001, 12 (09) :1335-1344
[8]   EXACT ENVELOPE-SOLITON SOLUTIONS OF A NONLINEAR WAVE-EQUATION [J].
HIROTA, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) :805-809
[10]  
Hirota R., 2004, The Direct Method in Soliton Theory