On the modified Gardner type equation and its time fractional form

DOI10.1016/j.chaos.2021.111694zbMath1498.35597OpenAlexW4206421956MaRDI QIDQ2675503

Abdul-Majid Wazwaz, Gang-Wei Wang

Publication date: 24 September 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111694

zbMATH Keywords

conservation lawsBäcklund transformationmodified Gardner-type equationperturbation and symmetry analysis

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Fractional partial differential equations (35R11)

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Cites Work

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• Symmetry reduction related with nonlocal symmetry for Gardner equation
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• A novel \((3+1)\)-dimensional sine-Gorden and a sinh-Gorden equation: derivation, symmetries and conservation laws
• A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
• A group theoretic analysis of the generalised Gardner equation with arbitrary order nonlinear terms
• New solitons and kink solutions for the Gardner equation
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• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
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