New periodic solutions of ITO’s 5th-order mKdV equation and ITO’s 7th-order mKdV equation

被引：3
作者：
Peng L. [1 ]
Zuliang P. [1 ]
机构：
[1] Dept. of Math, Zhejiang Univ, Hangzhou
来源：
Applied Mathematics-A Journal of Chinese Universities | 2004年 / 19卷 / 1期
关键词：
Modified extended tanh-funetion method; Modified Joeobi elliptic function expansion method; Nonlinear wave equations; Symbolic computation;
D O I：
10.1007/s11766-004-0020-2
中图分类号：
学科分类号：
摘要：
Based on the modified Jocobi elliptic function expansion method and the modified extended tanh-function method, a new algebraic method is presented to obtain multiple travelling wave solutions for nonlinear wave equations. By using the method, Ito's 5th-order and 7th-order mKdV equations are studied in detail and more new exact Jocobi elliptic function periodic solutions are found. With modulus m→ 1 or m→ 0, these solutions degenerate into corresponding solitary wave solutions, shock wave solutions and trigonometric function solutions. © 2004 Springer Verlag.
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页码：44 / 50
页数：6
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