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Doubly periodic solutions and non-topological solitons of 2+1− dimension Wazwaz Kaur Boussinesq equation employing Jacobi elliptic function method

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  • Silambarasan, Rathinavel
  • Nisar, Kottakkaran Sooppy

Abstract

In this research communication the Boussinesq like equation namely 2+1− dimensional Wazwaz Kaur Boussinesq equation is studied and gotten their Jacobi elliptic function (doubly periodic) solutions employing the simple algebraic Jacobi elliptic function method. The said method makes the two transformations of nonlinear partial differential equations to ordinary differential equations to solvable system of algebraic equations. The gotten doubly periodic solutions are modular transformed to show the degeneration into non-topological solitons, compound non-topological singular solitons and complex singular solitons. The three dimensional surfaces are drawn for few elliptic solutions and solitons.

Suggested Citation

  • Silambarasan, Rathinavel & Nisar, Kottakkaran Sooppy, 2023. "Doubly periodic solutions and non-topological solitons of 2+1− dimension Wazwaz Kaur Boussinesq equation employing Jacobi elliptic function method," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008986
    DOI: 10.1016/j.chaos.2023.113997
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    1. Gao, Wei & Silambarasan, Rathinavel & Baskonus, Haci Mehmet & Anand, R. Vijay & Rezazadeh, Hadi, 2020. "Periodic waves of the non dissipative double dispersive micro strain wave in the micro structured solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
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    4. Silambarasan, Rathinavel & Baskonus, Haci Mehmet & Vijay Anand, R. & Dinakaran, M. & Balusamy, Balamurugan & Gao, Wei, 2021. "Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 566-602.
    5. Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2023. "Ocean shallow-water studies on a generalized Boussinesq-Broer-Kaup-Whitham system: Painlevé analysis and similarity reductions," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
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