Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory

DOI10.1016/j.camwa.2016.03.023zbMath1443.35131OpenAlexW2337684290WikidataQ115359516 ScholiaQ115359516MaRDI QIDQ2007244

Anshu Kumar, Raj Kumar, Mukesh Kumar

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.03.023

zbMATH Keywords

similarity solutionsKonopelchenko-Dubrovsky equationssimilarity variablessimilarity transformations method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Self-similar solutions to PDEs (35C06)

Related Items (13)

Some more solutions of Kadomtsev-Petviashvili equation ⋮ Symmetry reductions, generalized solutions and dynamics of wave profiles for the \((2+1)\)-dimensional system of Broer-Kaup-Kupershmidt (BKK) equations ⋮ On group-invariant solutions of Konopelchenko-Dubrovsky equation by using Lie symmetry approach ⋮ Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations ⋮ Transverse spectral instabilities in Konopelchenko–Dubrovsky equation ⋮ On some invariant solutions of (2+1)-dimensional Korteweg-de Vries equations ⋮ Two-layer fluid formation and propagation of periodic solitons induced by \((3+1)\)-dimensional KP equation ⋮ Soliton solutions of BLMP equation by Lie symmetry approach ⋮ Group classification for isothermal drift flux model of two phase flows ⋮ Soliton solutions of KD system using similarity transformations method ⋮ On Lie symmetries and soliton solutions of \((2+1)\)-dimensional Bogoyavlenskii equations ⋮ Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation ⋮ Solitons for the modified \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations

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