Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations

Sudhir Singh, Lakhveer Kaur, R. Sakthivel and K. Murugesan

Physica A: Statistical Mechanics and its Applications, 2020, vol. 560, issue C

Abstract: In this article, we obtain the exact solutions two coupled models, one integrable system, namely coupled nonlinear Hirota (CNHI) equation and another non-integrable system, namely coupled nonlinear Helmholtz (CNHE) equation via the exp (−Φ(ε))–expansion method. The obtained travelling wave solutions are structured in rational, trigonometric and hyperbolic functions. These solutions lead to diverse types of solitary optical waves for free choices of parameters that guarantee the sustainability of such solutions. Also, 3D illustrations for the free choices of the physical parameters is provided to understand the physical explanation of the problems. These results further enrich and deepen the understanding of the dynamics of higher-dimensional soliton propagation.

Keywords: Hirota equation; Helmholtz equation; exp (−ϕ(ε))–expansion method; Soliton; Periodic solution (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:560:y:2020:i:c:s0378437120305835

DOI: 10.1016/j.physa.2020.125114

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