On the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation

被引：14

作者：

Giresunlu, I. B. ^{[1
]}

Ozkan, Y. Saglam ^{[2
]}

Yasar, E. ^{[2
]}

机构：

[1] Bilecik Seyh Edebali Univ, Fac Arts & Sci, Dept Math, TR-11230 Bilecik, Turkey

[2] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 11期

关键词：

Lie groups; exact solutions; Schamel-Korteweg-de Vries (S-KdV) equation; conservation laws; VARIATIONAL ITERATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; NONLINEAR-WAVE EQUATIONS; EXAMPLES; TANH;

D O I：

10.1002/mma.4274

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the integrability aspects of the Schamel-Korteweg-de Vries equation that play an important role in studying the effect of electron trapping on the nonlinear interaction of ion-acoustic waves by including a quasi-potential. Lie symmetry analysis together with the simplest equation method and Kudryashov method is used to obtain exact traveling wave solutions for this equation. In addition, conservation laws are constructed using two different techniques, namely, the multiplier method and the new conservation theorem. Using the conservation laws and symmetries of the underlying equation, double reduction and exact solution were also constructed. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：3927 / 3936

页数：10

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