Work

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

Year: 2023

Type: article

Abstract: 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.

Source: Results in Physics

DOI: 10.1016/j.rinp.2023.106495

Authors: Khalid K. Ali, M.S. Mehanna, M.A. Shaalan, Kottakkaran Sooppy Nisar, Wedad Albalawi, Abdel-Haleem Abdel-Aty

Institutions: Al-Azhar University, Prince Sattam Bin Abdulaziz University, Princess Nourah bint Abdulrahman University, University of Bisha

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,690

Funders: Prince Sattam bin Abdulaziz University, University of Bisha, Princess Nourah Bint Abdulrahman University