Multiple Soliton Solutions for Nonlinear Differential Equations with a New Version of Extended F-Expansion Method

PANDIR Y., Turhan N.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, vol.91, no.3, pp.495-501, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1007/s40010-020-00687-9
  • Journal Name: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.495-501
  • Keywords: New version of extended F-expansion method, (1+1)-Dimensional dispersive long wave (DLW) equation, (2+1)-Dimensional Kadomtsev-Petviashvili (KP) equation, Single and combined Jacobi elliptic functions solutions, CONVECTION-DIFFUSION PROBLEMS, SINGULARLY PERTURBED SYSTEM, KADOMTSEV-PETVIASHVILI, EVOLUTION, WAVES
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this article, a new version of extended F-expansion method is suggested. A multiple Jacobi elliptic functions are presented in the solution function. We achieve analytical solutions of the (1 + 1)-dimensional dispersive long wave (DLW) equation and (2 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation using the new version of extended F-expansion method. Then, the single and the combined non-degenerative Jacobi elliptic function solutions and their degenerate solutions to the above-mentioned class of nonlinear evolution equations are obtained.