Quasi-Periodic, Periodic Waves, and Soliton Solutions for the Combined KdV-mKdV Equation

被引：20

作者：

Abdel-Salam, Emad A. -B. ^{[1
]}

机构：

[1] Assiut Univ, Dept Math, New Valley Fac Educ, El Khargah, New Valley, England

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 9-10期

关键词：

Improved Jacobi Elliptic Function Method; Elliptic Equation; Generalized Jacobi Elliptic Functions; Combined KdV-mKdV Equation; Soliton Solutions; NONLINEAR EVOLUTION-EQUATIONS; VARIANT BOUSSINESQ EQUATIONS; ELLIPTIC FUNCTION EXPANSION; BACKLUND TRANSFORMATION; DIFFERENTIAL-EQUATIONS; TRAVELING-WAVES; SYSTEM; TANH; COMPACT;

D O I：

10.1515/zna-2009-9-1016

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：

By introducing the generalized Jacobi elliptic function. a new improved Jacobi elliptic function method is used to construct the exact travelling wave solutions of the nonlinear partial differential equations in a unified way. With the help of the improved Jacobi elliptic function method and symbolic computation, some new exact solutions of the combined Korleweg-de Vries-modified Korteweg-de Vries (KdV-mKdV) equation are obtained. Based on the derived solution, we investigate the evolution of doubly periodic and solitons in the background waves. Also, their structures are further discussed graphically.

引用

页码：639 / 645

页数：7

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