Symmetry reductions, generalized solutions and dynamics of wave profiles for the \((2+1)\)-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations

DOI10.1016/J.MATCOM.2022.01.024OpenAlexW4210319314MaRDI QIDQ2670431

Shubham Kumar Dhiman, Astha Chauhan, Sachin Kumar

Publication date: 11 March 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.01.024

zbMATH Keywords

symbolic computationsimilarity solutionssymmetry generatorsoptimal systemadjoint tableLie group technique

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

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Cites Work

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• A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
• Extended transformed rational function method and applications to complexiton solutions
• Lie group method for solving viscous barotropic vorticity equation in ocean climate models
• The phase-plane picture for a class of fourth-order conservative differential equations
• Double Wronskian solutions to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
• Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries
• Application of Lie groups to compressible model of two-phase flows
• Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory
• Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation
• On the inverse scattering method for integrable PDEs on a star graph
• The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
• Solitons with fission and fusion behaviors in a variable coefficient Broer-Kaup system
• Space-time fractional Klein-Gordon equation: symmetry analysis, conservation laws and numerical approximations
• New classes of symmetries for partial differential equations
• Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation
• Lie symmetry analysis, optimal system, and generalized group invariant solutions of the (2 + 1)‐dimensional Date–Jimbo–Kashiwara–Miwa equation
• A direct algorithm of one-dimensional optimal system for the group invariant solutions

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