\(N\)-solitons, Kink and periodic wave solutions for \((3 + 1)\)-dimensional Hirota bilinear equation using three distinct techniques

DOI10.1016/j.cjph.2019.02.032OpenAlexW2916920323MaRDI QIDQ6120255

S. M. Mabrouk, A. S. Rashed

Publication date: 25 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2019.02.032

zbMATH Keywords

transformed rational function method\((3 + 1)\)-dimensional Hirota bilinear equation\((G^\prime/G)\) expansion method\(Exp(-\phi(\xi))\) method

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (4)

Lump and interaction solutions for a generalized (3 + 1)-dimensional propagation model of nonlinear waves in fluid dynamics ⋮ Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods ⋮ Analytical solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera equation via symbol calculation approach ⋮ Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics

Cites Work

• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer
• Resonant behavior of multiple wave solutions to a Hirota bilinear equation
• Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer
• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• Group analysis for natural convection from a vertical plate
• Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation
• New exact traveling wave solutions of the (4+1)-dimensional Fokas equation
• Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method
• \(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation
• Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation
• Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation
• Symmetry analysis, explicit solutions, and conservation laws of a sixth-order nonlinear Ramani equation
• The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
• New (3+1)-dimensional nonlinear equations with KdV equation constituting its main part: multiple soliton solutions
• Traveling wave solutions and conservation laws for nonlinear evolution equation
• Exact solutions of Calgero–Bogoyavlenskii–Schiff equation using the singular manifold method after Lie reductions
• First integral method for non-linear differential equations with conformable derivative
• Equation for the three-dimensional nonlinear waves in liquid with gas bubbles
• Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions
• The investigation of soliton solutions and conservation laws to the coupled generalized Schrödinger–Boussinesq system

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