, 92:24 | Cite as

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

  • Abdullahi Rashid Adem
  • Yakup Yildirim
  • Emrullah YaşarEmail author


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.


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


02.20.Sv 02.30.Jr 02.70.Wz 04.20.Jb 


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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • Abdullahi Rashid Adem
    • 1
  • Yakup Yildirim
    • 2
  • Emrullah Yaşar
    • 2
    Email author
  1. 1.Material Science Innovation and Modelling Focus Area, School of Mathematical and Statistical SciencesNorth-West UniversityMmabathoSouth Africa
  2. 2.Department of Mathematics, Faculty of Arts and SciencesUludag UniversityBursaTurkey

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