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Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations

Author

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

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.

Suggested Citation

  • Singh, Sudhir & Kaur, Lakhveer & Sakthivel, R. & Murugesan, K., 2020. "Computing solitary wave solutions of coupled nonlinear Hirota and Helmholtz equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    • Handle: RePEc:eee:phsmap:v:560:y:2020:i:c:s0378437120305835
    DOI: 10.1016/j.physa.2020.125114
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    References listed on IDEAS

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    1. Sakkaravarthi, K. & Johnpillai, A.G. & Durga Devi, A. & Kanna, T. & Lakshmanan, M., 2018. "Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 457-472.
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