Periodic Wave Solutions of a Generalized KdV-mKdV Equation with Higher-Order Nonlinear Terms

被引:17
|
作者
Li, Zi-Liang [1 ]
机构
[1] Ocean Univ China, Dept Marine Meteorol, Lab Phys Oceanog, Qingdao 266100, Peoples R China
基金
中国国家自然科学基金;
关键词
GKdV mKdV Equation; Homogeneous Balance Method; New Auxiliary Equation Method; ODE with Higher Degree Nonlinear Terms; Periodic Wave Solutions; Solitary Wave Solutions; VARIATIONAL ITERATION METHOD; TANH-FUNCTION METHOD; COLLOCATION SOLUTION; EVOLUTION-EQUATIONS; SOLITON-SOLUTIONS; BURGERS; SPLINE;
D O I
10.1515/zna-2010-8-905
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The Jacobin doubly periodic wave solution the Weierstrass elliptic function solution the bell-type solitary wave solution the kink type solitary wave solution, the algebraic solitary wave solution and the triangular solution of generalized Korteweg de Vries-modified Korteweg-de Vries equation (GKdV mKdV) with higher-older nonlinear terms are obtained by a generalized subsidiary ordinary differential equation method (Gsub ODE method for short) The key ideas of the Gsub ODE method are that the periodic wave solutions of a complicated nonlinear wave equation can be constructed by means of the solutions of some simple and solvable ODE which are called Gsub ODE with higher order nonlinear terms
引用
收藏
页码:649 / 657
页数:9
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