Extended Hyperbolic Function Method to Solve Two New Nonlinear Partial Differential Equations
Year: 2025
Type: article
Abstract: In this paper, we present two new equations, firstly a combined of Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation with modified Korteweg-de Vries-Benjamin-Bona-Mahony m(KdV-BBM) and denoted by c((KdV-BBM)-m(KdV-BBM)), secondly a combined of Shallow Water Wave-Ablowitz-Kaup-Newell-Segur (SWW-AKNS) equation with Equal-Width (EW) equation and denoted by c((SWW-AKNS)-EW). Then we apply the extended hyperbolic function method (EHFM) to solve the new equations. Exact traveling wave solutions are obtained and expresses in terms of hyperbolic functions and trigonometric functions.
Authors: M. S. Al-Amry, H. S. Bafarag
Institutions: University of Aden, University of Abyan
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409533528