A (2+1)-dimensional KdV equation and mKdV equation: symmetries, group invariant solutions and conservation laws

DOI10.1016/j.physleta.2018.11.040zbMath1479.37073OpenAlexW2902144306MaRDI QIDQ823560

Abdul Hamid Kara, Gang-Wei Wang

Publication date: 24 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2018.11.040

zbMATH Keywords

symmetryconservation lawsKdV equationmKdV equationgroup invariant solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (14)

Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE ⋮ NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD ⋮ Dynamics of kink-soliton solutions of the \((2+1)\)-dimensional sine-Gordon equation ⋮ Consistent Burgers equation expansion method and its applications to high- dimensional Burgers-type equations ⋮ Analysis of the seventh-order Caputo fractional KdV equation: applications to the Sawada–Kotera–Ito and Lax equations ⋮ (2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions ⋮ A novel \((3+1)\)-dimensional sine-Gorden and a sinh-Gorden equation: derivation, symmetries and conservation laws ⋮ Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation ⋮ A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions ⋮ Fractional differential equations, compatibility, and exact solutions ⋮ The time fractional D(m,n) system: invariant analysis, explicit solution, conservation laws and optical soliton ⋮ Soliton solutions and lump-type solutions to the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficient ⋮ SYMMETRY ANALYSIS, ANALYTICAL SOLUTIONS AND CONSERVATION LAWS OF A GENERALIZED KdV–BURGERS–KURAMOTO EQUATION AND ITS FRACTIONAL VERSION ⋮ A detailed study on a new \((2 + 1)\)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative

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