Research Article
Exact Soliton Solutions for New (4+1)-Dimensional Nonlinear Partial Differential Equations by a New exp(φ(ξ))-Expansion Method
Mohammed Salem Ahmed AL-Amry,
Eman Fadhl Abdullah AL-Abdali*
Issue:
Volume 11, Issue 2, April 2025
Pages:
26-33
Received:
7 May 2025
Accepted:
21 June 2025
Published:
14 July 2025
DOI:
10.11648/j.ijtam.20251102.11
Downloads:
Views:
Abstract: In this paper, we present a new two equations. The first equation is the (4 + 1)-dimensional Generalized Nonlinear Boussinesq Equation (G-NBE), and the second is the (4+1)-dimensional Generalized Camassa–Holm Kadomtsev–Petviashvili Equation (G-CH-KPE). We use a new exp(φ(ξ))-expansion method for solve our new equations. We determine a variety of exact solutions for each equation and expressed in terms of hyperbolic functions, trigonometric functions, exponential functions and rational functions.
Abstract: In this paper, we present a new two equations. The first equation is the (4 + 1)-dimensional Generalized Nonlinear Boussinesq Equation (G-NBE), and the second is the (4+1)-dimensional Generalized Camassa–Holm Kadomtsev–Petviashvili Equation (G-CH-KPE). We use a new exp(φ(ξ))-expansion method for solve our new equations. We determine a variety of ex...
Show More
