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Langrangian formulation and solitary wave solutions of a generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity in physical sciences and engineering

Khalique, Chaudry Masood ; Adeyemo, Oke Davies

Journal of ocean engineering and science, 2023-03, Vol.8 (2), p.152-168 [Periódico revisado por pares]

Elsevier B.V

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  • Título:
    Langrangian formulation and solitary wave solutions of a generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity in physical sciences and engineering
  • Autor: Khalique, Chaudry Masood ; Adeyemo, Oke Davies
  • Assuntos: Cnoidal and snoidal wave solutions ; Conserved currents ; Exact solutions ; Generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity ; Lie point symmetries
  • É parte de: Journal of ocean engineering and science, 2023-03, Vol.8 (2), p.152-168
  • Descrição: •We study a generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity.•We obtained solutions in terms of hyperbolic and Weierstrass elliptic functions.•We derived conservation laws using multiplier method and Noether’s theorem.•We portrayed the dynamics of various obtained solutions. This paper presents analytical studies carried out explicitly on a higher-dimensional generalized Zakharov–Kuznetsov equation with dual power-law nonlinearity arising in engineering and nonlinear science. We obtain analytic solutions for the underlying equation via Lie group approach as well as direct integration method. Moreover, we engage the extended Jacobi elliptic cosine and sine amplitude functions expansion technique to seek more exact travelling wave solutions of the equation for some particular cases. Consequently, we secure, singular and nonsingular (periodic) soliton solutions, cnoidal, snoidal as well as dnoidal wave solutions. Besides, we depict the dynamics of the solutions using suitable graphs. The application of obtained results in various fields of sciences and engineering are presented. In conclusion, we construct conserved currents of the aforementioned equation via Noether’s theorem (with Helmholtz criteria) and standard multiplier technique through the homotopy formula.
  • Editor: Elsevier B.V
  • Idioma: Inglês
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