Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation
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Publication:2128302
DOI10.1016/j.chaos.2020.110507zbMath1496.35152OpenAlexW3107497183MaRDI QIDQ2128302
Publication date: 21 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110507
solitonsLie symmetry analysisoptimal systemexact invariant solutions(4+1)-dimensional Fokas equation
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Cites Work
- Unnamed Item
- Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms
- A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
- The Lie algebra of point symmetries of nonlocal collisionless Boltzmann equation in terms of moments
- A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
- The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation
- Exp-function method for nonlinear wave equations
- The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
- Exact solutions for \((4 + 1)\)-dimensional nonlinear Fokas equation using extended \(F\)-expansion method and its variant
- A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application
- Lie symmetry analysis and invariant solutions of \((3+1)\)-dimensional Calogero-Bogoyavlenskii-Schiff equation
- Parameter limit method and its application in the (4+1)-dimensional Fokas equation
- Investigation of Lie symmetry and new solutions for highly dimensional non-elastic and elastic interactions between internal waves
- Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions
- Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach
- New abundant wave solutions of the conformable space-time fractional \((4+1)\)-dimensional Fokas equation in water waves
- Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach
- Multiple lump solutions of the \((4+1)\)-dimensional Fokas equation
- Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation
- \(F\)-expansion method and its application for finding new exact solutions to the Kudryashov-Sinelshchikov equation
- New exact traveling wave solutions of some nonlinear higher-dimensional physical models
- The Jacobi elliptic function method and its application for two component BKP hierarchy equations
- Generalized and Improved ( G ′/ G )-Expansion Method Combined with Jacobi Elliptic Equation
- Integrable Nonlinear Evolution Partial Differential Equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>4</mml:mn><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions
- Symmetry Groups and Exact Solutions of New (4+1)-Dimensional Fokas Equation
- EXACT TRAVELING WAVE SOLUTIONS OF A HIGHER-DIMENSIONAL NONLINEAR EVOLUTION EQUATION
- Symmetries and Integrability
- The tanh method and the sine–cosine method for solving the KP-MEW equation
- A direct algorithm of one-dimensional optimal system for the group invariant solutions
- Symmetries and differential equations
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