Soliton solutions of nonlinear evolution equations in mathematical physics

被引：13

作者：

Arbabi, Somayeh ^{[1
]}

Najafi, Mohammad ^{[1
]}

机构：

[1] Kermanshah Univ Med Sci, Med Biol Res Ctr, Kermanshah 6714967346, Iran

来源：

OPTIK | 2016年 / 127卷 / 10期

关键词：

Evolution equations; Integrability; Constraints; INVERSE VARIATIONAL PRINCIPLE; WAVES;

D O I：

10.1016/j.ijleo.2016.01.150

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper exhibits the application of integrability aspects to a couple of nonlinear evolution equations. These are semi-inverse variational principle and the rational sine-cosine method. These are applied to extract solutions of Boiti-Leon-Manna-Pempinelli equation and Breaking soliton equation. Soliton and other solutions will be retrieved by the application of these two tools. The constraint conditions for the parameters will also naturally emerge froth the solution structures. (C) 2016 Elsevier GmbFi. All rights reserved.

引用

页码：4270 / 4274

页数：5

共 19 条

[1] Topological solitons and cnoidal waves to a few nonlinear wave equations in theoretical physics [J].

Bhrawy, A. H. ;

Abdelkawy, M. A. ;

Biswas, A. .

INDIAN JOURNAL OF PHYSICS, 2013, 87 (11) :1125-1131

[2] Perturbation of shallow water waves by semi-inverse variational principle [J].

Biswas, A. ;

Milovic, D. M. ;

Kumar, S. ;

Yildirim, A. .

INDIAN JOURNAL OF PHYSICS, 2013, 87 (06) :567-569

[3] Chiral solitons with bohm potential by He's variational principle [J].

Biswas, A. ;

Milovic, D. .

PHYSICS OF ATOMIC NUCLEI, 2011, 74 (05) :755-757

[4]

Biswas A, 2013, Quant Phys Lett, V1, P79

[5] Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion [J].

Biswas, Anjan ;

Song, Ming ;

Triki, Houria ;

Kara, Abdul H. ;

Ahmed, Bouthina S. ;

Strong, Andre ;

Hama, Amadou .

APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (03) :949-957

[6] OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRODINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE [J].

Biswas, Anjan ;

Milovic, Daniela ;

Savescu, Michelle ;

Mahmood, Mohammad F. ;

Khan, Kaisar R. ;

Kohl, Russell .

JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2012, 21 (04)

[7] Optical soliton perturbation in a log-law medium with full nonlinearity by He's semi-inverse variational principle [J].

Biswas, Anjan ;

Milovic, Daniela ;

Kohl, Russell .

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2012, 20 (02) :227-232

[8] Dispersive optical solitons by the semi-inverse variational principle [J].

Biswas, Anjan ;

Johnson, Stephen ;

Fessak, Megan ;

Siercke, Beatrice ;

Zerrad, Essaid ;

Konar, Swapan .

JOURNAL OF MODERN OPTICS, 2012, 59 (03) :213-217

[9] SOLITONS IN ALPHA-HELIX PROTEINS BY HE'S VARIATIONAL PRINCIPLE [J].

Biswas, Anjan ;

Milovic, Daniela ;

Milic, Dejan .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2011, 4 (04) :423-429

[10] Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equations [J].

Darvishi, M. T. ;

Najafi, M. ;

Kavitha, L. ;

Venkatesh, M. .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (06) :785-794

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