Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation

被引：24

作者：

Triki, Houria ^{[1
]}

Ak, Turgut ^{[2
]}

Ekici, Mehmet ^{[3
]}

Sonmezoglu, Abdullah ^{[3
]}

Mirzazadeh, Mohammad ^{[4
]}

Kara, Abdul Hamid ^{[5
]}

Aydemir, Tugba ^{[6
]}

机构：

[1] Badji Mokhtar Univ, Fac Sci, Radiat Phys Lab, Dept Phys, POB 12, Annaba 23000, Algeria

[2] Yalova Univ, Fac Engn, Dept Transportat Engn, TR-77100 Yalova, Turkey

[3] Bozok Univ, Dept Math, Fac Sci & Arts, TR-66100 Yozgat, Turkey

[4] Univ Guilan, Fac Math Sci, Dept Math, Rasht, Iran

[5] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[6] Yalova Univ, TR-77100 Yalova, Turkey

来源：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 01期

关键词：

P-KdV equation; Kudryashov method; Sine-cosine method; Conservation laws; FINDING EXACT-SOLUTIONS; SUB-ODE METHOD; KDV EQUATIONS; MKDV EQUATION; COUPLED KDV; SOLITONS; EVOLUTION;

D O I：

10.1007/s11071-017-3467-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The potential Korteweg-de Vries equation is investigated by using the sine-cosine method and generalized Kudryashov method. A variety of exact wave solutions that contain shock solutions, periodic solutions and solitons solutions are formally derived. Also, conservation laws of the equation is determined by using the multiplier approach. In addition, the restrictions on the physical parameters of obtained solutions are presented.

引用

页码：501 / 508

页数：8

共 19 条

[1] Biswas A, 2013, ROM REP PHYS, V65, P1125
[2] 1-Soliton solution of the B(m, n) equation with generalized evolution
Biswas, Anjan
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (08) : 3226 - 3229
[3] Generalized Kudryashov Method for Time-Fractional Differential Equations
Demiray, Seyma Tuluce
Pandir, Yusuf
Bulut, Hasan
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[4] New solitons and periodic wave solutions for nonlinear evolution equations
El-Wakil, SA
Abdou, MA
Elhanbaly, A
[J]. PHYSICS LETTERS A, 2006, 353 (01) : 40 - 47
[5] On Weierstrass elliptic function solutions for a (N+1) dimensional potential KdV equation
Guo, Yunxi
Wang, Ying
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) : 8080 - 8092
[6] One method for finding exact solutions of nonlinear differential equations
Kudryashov, Nikolay A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) : 2248 - 2253
[7] A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
Li, Xiangzheng
Wang, Mingliang
[J]. PHYSICS LETTERS A, 2007, 361 (1-2) : 115 - 118
[8] Black optical solitons for media with parabolic nonlinearity law in the presence of fourth order dispersion
Palacios, SL
Fernández-Díaz, JM
[J]. OPTICS COMMUNICATIONS, 2000, 178 (4-6) : 457 - 460
[9] The sub-ODE method and soliton solutions for a higher order dispersive cubic-quintic nonlinear Schrodinger equation
Triki, Houria
Taha, Thiab R.
[J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1068 - 1072
[10] Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
Triki, Houria
Wazwaz, Abdul-Majid
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (02) : 370 - 373

← 1 2 →