Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions

This paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two analytical methods such as the Kudryashov met...

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Bibliographic Details
Main Authors: Khalid K. Ali, M.S. Mehanna, M.A. Shaalan, Kottakkaran Sooppy Nisar, Wedad Albalawi, Abdel-Haleem Abdel-Aty
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723002887
Description
Summary:This paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two analytical methods such as the Kudryashov method and the G′G-expansion method. Numerical solutions based on the finite difference method are introduced. The bifurcation analysis of solitary wave solutions is exhibited. Our analytical and numerical results are compared and illustrate them through some tables and graphical figures.
ISSN:2211-3797