Exact solutions of Gerdjikov-Ivanov equation

被引：23

作者：

Li Xiang-Zheng ^{[1
]}

Li Xiu-Yong ^{[1
]}

Zhao Li-Ying ^{[1
]}

Zhang Jin-Liang ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Coll Sci, Luoyang 471003, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 04期

关键词：

homogeneous balance principle; F-expansion method; Gerdjikov-Ivanov equation; envelope solitary wave solution;

D O I：

10.7498/aps.57.2031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Gerdjikov-lvanov equation which appears, in the fields of quanta field theory, weak nonlinear dispersive water wave, nonlinear optics, etc., has been discussed. Nonlinear mathematical physics equation with higher order nonlinear terms is educed in the discussion of Gerdjikov-lvanov equation. The Lienard equation is chosen as subsidiary ordinary differential equation, with the help of which and according to homogeneous balance principle, the Gerdjikov-lvanov equation has been solved, and the envelope solitary wave solutions and envelope sinusoidal wave solutions have been obtained.

引用

页码：2031 / 2034

页数：4

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