Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients

被引：35

作者：

Yomba, Emmanuel ^{[1
,2
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Univ Ngaoundere, Fac Sci, Dept Phys, Ngaoundere, Cameroon

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 15-16期

关键词：

F-function method; Jacobi elliptic function solutions; Variable coefficient generalized; Zakharov-Kuznetsov equation; EXP-FUNCTION METHOD; PERIODIC-WAVE SOLUTIONS; SCHRODINGER-EQUATION; TIME;

D O I：

10.1016/j.physleta.2010.02.026

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An indirect F-function method is introduced to solve the Zakharov-Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients. Taking advantage of the elliptic equation, this F-function is used to map the solution of the Zakharov-Kuznetsov equation to those of the elliptic equation. As a result, we obtain exact spatiotemporal periodic traveling solutions. Two forms of this model are studied. The constraint relation between these time-dependent coefficients is established for the Jacobi elliptic function solutions to exist. This equation is then investigated with generalized evolution. (c) 2010 Elsevier B.V. All rights reserved.

引用

页码：1611 / 1615

页数：5

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