Optical soliton solutions of nonlinear evolution equations using ansatz method

被引:49
作者
Guner, Ozkan [1 ]
Bekir, Ahmet [2 ]
Karaca, Fatih [2 ]
机构
[1] Cankiri Karatekin Univ, Fac Econ & Adm Sci, Dept Int Trade, Cankiri, Turkey
[2] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math & Comp Sci, Eskisehir, Turkey
来源
OPTIK | 2016年 / 127卷 / 01期
关键词
Dark soliton; The modified Korteweg de Vries-type equation; The dissipative (2+1) dimensional; Ablowitz-Kaup-Newell-Segur (AKNS) equation; Exact solution; TRAVELING-WAVE SOLUTIONS; F-EXPANSION METHOD; 1-SOLITON SOLUTION; DARK SOLITON; (G'/G)-EXPANSION METHOD; LAW; BRIGHT; MEDIA; AKNS; KDV;
D O I
10.1016/j.ijleo.2015.09.222
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, the optical soliton solutions are obtained for the modified Korteweg de Vries-type equation and the dissipative (2+1) dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation. The mathematical techniques used to obtain the soliton solution is the ansatz method. (C) 2015 Elsevier GmbH. All rights reserved.
引用
收藏
页码:131 / 134
页数:4
相关论文
共 35 条
[1]   The extended F-expansion method and its application for a class of nonlinear evolution equations [J].
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (01) :95-104
[2]   Application of the (G′/G)-expansion method for nonlinear evolution equations [J].
Bekir, Ahmet .
PHYSICS LETTERS A, 2008, 372 (19) :3400-3406
[3]   Topological (dark) soliton solutions for the Camassa-Holm type equations [J].
Bekir, Ahmet ;
Guner, Ozkan .
OCEAN ENGINEERING, 2013, 74 :276-279
[4]   Bright and dark soliton solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation and generalized Benjamin equation [J].
Bekir, Ahmet ;
Guner, Ozkan .
PRAMANA-JOURNAL OF PHYSICS, 2013, 81 (02) :203-214
[5]   OPTICAL SOLITON SOLUTIONS OF THE LONG-SHORT-WAVE INTERACTION SYSTEM [J].
Bekir, Ahmet ;
Aksoy, Esin ;
Guner, Ozkan .
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2013, 22 (02)
[6]   1-soliton solution of (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media [J].
Biswas, Anjan .
PHYSICS LETTERS A, 2008, 372 (38) :5941-5943
[7]   1-soliton solution of the K(m, n) equation with generalized evolution [J].
Biswas, Anjan .
PHYSICS LETTERS A, 2008, 372 (25) :4601-4602
[8]   Topological and non-topological exact soliton solution of the power law KdV equation [J].
Biswas, Anjan ;
Petkovic, Marko D. ;
Milovic, Daniela .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) :3263-3269
[9]  
Bogning J.R., 2013, INT J MOD NONLINEAR, V2, P135
[10]   Traveling-wave solutions of the Schwarz-Korteweg-de Vries equation in 2+1 dimensions and the Ablowitz-Kaup-Newell-Segur equation through symmetry reductions [J].
Bruzón, MS ;
Gandarias, ML ;
Muriel, C ;
Ramírez, J ;
Romero, FR .
THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 137 (01) :1378-1389