Soliton solutions to the non-local Boussinesq equation by multiple exp-function scheme and extended Kudryashov’s approach
ABDULLAHI RASHID ADEM YAKUP YILDIRIM EMRULLAH YASAR
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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.
ABDULLAHI RASHID ADEM1 YAKUP YILDIRIM2 EMRULLAH YASAR2
Volume 96, 2022
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