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

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