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Different Wave Structures to the (2 + 1)-Dimensional Generalized Bogoyavlensky–Konopelchenko Equation

  • R. Pouyanmehr
  • K. HosseiniEmail author
  • R. Ansari
  • S. H. Alavi
Original Paper
First Online:
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Abstract

The purpose of the present work is to confirm the existence of different wave structures for the (2 + 1)-dimensional generalized Bogoyavlensky–Konopelchenko (2D-gBK) equation describing nonlinear waves in applied sciences. In this respect, based on the Hirota’s bilinear form and various test schemes, a variety of exact solutions, including breather-wave, rational, double soliton, mixed-type, cross-kink, and interaction solutions to the 2D-gBK equation are formally extracted. The dynamical structures of a series of selected solutions are investigated by portraying several 3-dimensional and density plots.

Keywords

(2 + 1)-Dimensional generalized Bogoyavlensky–Konopelchenko equation Hirota’s bilinear form Various test schemes Different wave structures 
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Notes

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no potential conflict of interest.

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© Springer Nature India Private Limited 2019

Authors and Affiliations

  • R. Pouyanmehr
    • 1
  • K. Hosseini
    • 2
    Email author
  • R. Ansari
    • 1
  • S. H. Alavi
    • 3
  1. 1.Department of Mechanical EngineeringUniversity of GuilanRashtIran
  2. 2.Department of Mechanical EngineeringAhrar Institute of Technology and Higher EducationRashtIran
  3. 3.School of Mechanical EngineeringIran University of Science and TechnologyNarmak, TehranIran

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