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

被引：13

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

共 34 条

[1] The first integral method for modified Benjamin-Bona-Mahony equation
Abbasbandy, S.
Shirzadi, A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) : 1759 - 1764
[2] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications
Anco, SC
Bluman, G
[J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 : 545 - 566
[3] Bluman George W, 2013, SYMMETRIES DIFFERENT, V81
[4] Double reduction of a nonlinear (2+1) wave equation via conservation laws
Bokhari, Ashfaque H.
Al-Dweik, Ahmad Y.
Kara, A. H.
Mahomed, F. M.
Zaman, F. D.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) : 1244 - 1253
[5] The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations
Chen, Yong
Yan, Zhenya
[J]. CHAOS SOLITONS & FRACTALS, 2006, 29 (04) : 948 - 964
[6] Computation of fluxes of conservation laws
Cheviakov, Alexei F.
[J]. JOURNAL OF ENGINEERING MATHEMATICS, 2010, 66 (1-3) : 153 - 173
[7] Homotopy perturbation technique for solving two-point boundary value problems - comparison with other methods
Chun, Changbum
Sakthivel, Rathinasamy
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2010, 181 (06) : 1021 - 1024
[8] Use of He's Homotopy Perturbation Method for solving a partial differential equation arising in modeling of flow in porous media
Dehghan, Mehdi
Shakeri, Fatemeh
[J]. JOURNAL OF POROUS MEDIA, 2008, 11 (08) : 765 - 778
[9] The Solution of the Variable Coefficients Fourth-Order Parabolic Partial Differential Equations by the Homotopy Perturbation Method
Dehghan, Mehdi
Manafian, Jalil
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (7-8): : 420 - 430
[10] Generalized Kudryashov Method for Time-Fractional Differential Equations
Demiray, Seyma Tuluce
Pandir, Yusuf
Bulut, Hasan
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 →