Multiple rogue and soliton wave solutions to the generalized Konopelchenko Dubrovsky Kaup Kupershmidt equation arising in fluid mechanics and plasma physics

İLHAN O. A., Abdulazeez S. T., Manafian J., Azizi H., Zeynalli S. M.

MODERN PHYSICS LETTERS B, vol.35, no.23, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 23
  • Publication Date: 2021
  • Doi Number: 10.1142/s0217984921503838
  • Journal Name: MODERN PHYSICS LETTERS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Keywords: Hirota bilinear method, generalized Konopelchenko-Dubrovsky-Kaup- Kupershmidt equation, a modified of improved bilinear method, multiple exp-function method, PARTIAL-DIFFERENTIAL-EQUATIONS, BREAKING SOLITON, LUMP SOLUTIONS, OPTIMALITY, SYSTEM
  • Erciyes University Affiliated: Yes

Abstract

Under investigation in this paper is the generalized Konopelchenko-Dubrovsky-KaupKupershmidt equation. Based on bilinear method, the multiple rogue wave (RW) solutions and the novel multiple soliton solutions are constructed by giving some specific activation functions for the considered model. By means of symbolic computation, these analytical solutions and corresponding rogue wave solutions are obtained via Maple 18 software. The exact lump and RW solutions, by solving the under-determined nonlinear system of algebraic equations for the specified parameters, will be constructed. Via various three-dimensional plots and density plots, dynamical characteristics of these waves are exhibited.