NEW EXACT AND EXPLICIT SOLUTIONS OF THE ZAKHAROV EQUATIONS AND GENERALIZED ZAKHAROV EQUATIONS BY THE QUOTIENT TRIGONOMETRIC FUNCTION EXPANSION METHOD

被引：0

作者：

Marinca, Bogdan ^{[1
]}

Marinca, Vasile ^{[1
,2
]}

机构：

[1] Politehn Univ Timisoara, Bd M Viteazul 24, Timisoara 300223, Romania

[2] Romanian Acad, Ctr Adv & Fundamental Tech Res, Bd M Viteazul 24, Timisoara 300223, Romania

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2017年 / 18卷 / 02期

关键词：

quotient trigonometric function expansion method (QTFEM); nonlinear partial differential equations (NPDE); exact solutions; Zakharov equations (ZE); generalized Zakharov equations(GZE); DERIVATION; SYSTEM;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, by using a simple transformation technique, we have show that the nonlinear wave equations: Zakharov equations and generalized Zakharov equations can be reduced to the same family of Duffing or double-well Duffing equations. Then by means of quotient trigonometric function expansion method, many kinds of exact and explicit solutions of this family of equations are obtained in a unified way. These solutions include periodic and non-periodic exact solutions.

引用

页码：166 / 173

页数：8

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