Soliton solutions to the non-local Boussinesq equation by multiple exp-function scheme and extended Kudryashov’s approach

Pramana: Journal of physics

YAKUP YILDIRIM^2¹  ABDULLAHI RASHID ADEM^1² 

[1] Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey^2;Material Science Innovation and Modelling Focus Area, School of Mathematical and Statistical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South Africa^1

关键词: Non-local Boussinesq (nlBq) equation;    Lie symmetry analysis;    extended Kudryashov’s algorithm;    multiple exp-function algorithm;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we study the exact solutions of non-local Boussinesq equation (nlBq) which appears in many scientific fields. We generate dark solitons, singular solitons, a new family of solitons and combo dark–singular soliton-type solutions of nlBq by the extended Kudryashov’s algorithm. Additional solutions such as singular periodic solutions also fall out of this integration scheme. Also, one-soliton, two-soliton and three-soliton type solutions are presented using multiple exp-function algorithm. Lastly, Lie symmetry analysis with the new similarity reductions is also examined.

【 授权许可】

CC BY