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New solitary wave solutions and conservation laws to the Kudryashov-Sinelshchikov equation

被引：48
|
作者：
Inc, Mustafa [1 ]
Aliyu, Aliyu Isa [1 ,2 ]
Yusuf, Abdullahi [1 ,2 ]
Baleanu, Dumitru [3 ,4 ]
机构：
[1] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey
[2] Fed Univ Dutse, Sci Fac, Dept Math, Jigawa 7156, Nigeria
[3] Cankaya Univ, Dept Math, Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
来源：
OPTIK | 2017年 / 142卷
关键词：
Lie symmetry; Soliton solutions; Conservation laws; BACKLUND TRANSFORMATION; DEPENDENT COEFFICIENTS; OPTICAL SOLITONS;
D O I：
10.1016/j.ijleo.2017.05.055
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this manuscript, we utilized the algorithm of Riccati Bernoulli sub-ODE method to find new soliton solutions to the Kudryashov Sinelshchikov equation (KSE). Some new type of traveling wave solutions are acquired, which includes the kink-type, singular-type and exponential function solutions which have not been obtained in previous time using this technique. The obtained solutions appear with all necessary constraint conditions that are necessary for them to exist. Using the general conservation laws (Cls) theorem introduced by Ibragimov, the Cls for the underlying equation are investigated. (C) 2017 Elsevier GmbH. All rights reserved.
引用
收藏
页码：665 / 673
页数：9
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