We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Solitary wave solutions of Camassa–Holm nonlinear Schrödinger and (3+1)-dimensional Boussinesq equations.
- Authors
Sadaf, Maasoomah; Arshed, Saima; Akram, Ghazala; Iqbal, Muhammad Abdaal Bin; Samei, Mohammad Esmael
- Abstract
In this article, two most prominent models namely the Camassa–Holm nonlinear Schrödinger equation and the (3 + 1) -dimensional Boussinesq equation have been investigated for extracting new and novel solitary wave solutions. The Camassa–Holm nonlinear Schrödinger (CHNLS) equation is a mathematical model that combines the features of two important equations in physics: the Camassa–Holm equation and the nonlinear Schrödinger equation. The Camassa–Holm equation describes the propagation of shallow water waves over a flat bottom, and has soliton solutions with sharp peaks called peakons. The nonlinear Schrödinger equation describes the evolution of wave packets in nonlinear and dispersive media, and has soliton solutions with smooth profiles. The CHNLS equation has been addressed analytically to determine the exact solutions by implementing extended G ′ / G 2 -expansion approach. The Boussinesq equation is a mathematical model that is capable of simulating weakly nonlinear and long-wave approximations is also solved analytically by applying extended G ′ / G 2 -expansion approach. This model finds its applications in various fields such as coastal engineering, and numerical models for water wave simulation in harbors and shallow seas. The two considered equations have significant applications in mathematical physics and their exact wave solutions are essential to understand their dynamical behavior. Dark solitons, bright solitons, and periodic waves are observed from the obtained results. It is reasonable to say that our approach provides an impressive mathematical mechanism for producing traveling wave solutions for numerous mathematical and physical models. Also our proposed method improves the accuracy of the solution. The technique employed here is basic and concise. Graphs are presented to depict the behavior of some of the retrieved dynamical wave structures. All computations are done using the mathematical software Maple.
- Subjects
WAVE packets; BOUSSINESQ equations; NONLINEAR Schrodinger equation; MATHEMATICAL physics; WATER waves; NONLINEAR evolution equations; WAVES (Physics)
- Publication
Optical & Quantum Electronics, 2024, Vol 56, Issue 5, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-024-06379-7