ENVELOPE SOLITONS, PERIODIC WAVES AND OTHER SOLUTIONS TO BOUSSINESQ-BURGERS EQUATION

被引：0

作者：

Ebadi, Ghodrat ^{[1
]}

Yousefzadeh, Nazila ^{[1
]}

Triki, Houria ^{[2
]}

Yildirim, Ahmet ^{[3
,4
]}

Biswas, Anjan ^{[5
]}

机构：

[1] Univ Tabriz, Dept Math Sci, Tabriz 5166614766, Iran

[2] Badji Mokhtar Univ, Dept Phys, Radiat Phys Lab, Anaba 2300, Algeria

[3] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[5] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

来源：

ROMANIAN REPORTS IN PHYSICS | 2012年 / 64卷 / 04期

关键词：

topological soliton; cnoidal wave solutions; Jacobi elliptic function method; Boussinesq-Burgers equations; SUB-ODE METHOD; NONLINEAR SCHRODINGER-EQUATION; DARBOUX TRANSFORMATION; MULTISOLITON SOLUTIONS; OPTICAL SOLITONS; MKDV EQUATION; DISPERSION; EVOLUTION; KDV;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper retrieves the topological soliton and cnoidal wave solutions to the Boussinesq-Burgers equations. By using the Jacobi elliptic function method, we find the exact periodic solutions for the considered model. Exact travelling wave solutions which include new envelope solitary and shock wave solutions are obtained. The conditions of the existence of the derived solutions are presented.

引用

页码：915 / 932

页数：18

共 20 条

[11] Bright and dark soliton solutions for a K(m, n) equation with t-dependent coefficients
Triki, Houria
Wazwaz, Abdul-Majid
[J]. PHYSICS LETTERS A, 2009, 373 (25) : 2162 - 2165
[12] Physics and mathematics of dispersion-managed optical solitons
Turitsyn, SK
Shapiro, EG
Medvedev, SB
Fedoruk, MP
Mezentsev, VK
[J]. COMPTES RENDUS PHYSIQUE, 2003, 4 (01) : 145 - 161
[13] Sub-ODE method and solitary wave solutions for higher order nonlinear Schrodinger equation
Wang, Mingliang
Li, Xiangzheng
Zhang, Jinliang
[J]. PHYSICS LETTERS A, 2007, 363 (1-2) : 96 - 101
[14] Lax pair, Backlund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves
Wang, Pan
Tian, Bo
Liu, Wen-Jun
Lue, Xing
Jiang, Yan
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1726 - 1734
[15] New solitary wave solutions to the modified Kawahara equation
Wazwaz, Abdul-Majid
[J]. PHYSICS LETTERS A, 2007, 360 (4-5) : 588 - 592
[16] Integrable (2+1)-dimensional and (3+1)-dimensional breaking soliton equations
Wazwaz, Abdul-Majid
[J]. PHYSICA SCRIPTA, 2010, 81 (03)
[17] New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems
Yan, Zhenya
[J]. PHYSICS LETTERS A, 2007, 361 (03) : 194 - 200
[18] Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients
Yomba, Emmanuel
[J]. PHYSICS LETTERS A, 2010, 374 (15-16) : 1611 - 1615
[19] N-soliton solutions, Backlund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation
Yu, Xin
Gao, Yi-Tian
Sun, Zhi-Yuan
Liu, Ying
[J]. PHYSICA SCRIPTA, 2010, 81 (04)
[20] On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations
Zayed, EME
Zedan, HA
Gepreel, KA
[J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (02) : 285 - 303

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