On similarity solutions of Zabolotskaya-Khokhlov equation
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Publication:2397196
DOI10.1016/j.camwa.2014.06.020zbMath1362.35268OpenAlexW2010543169MaRDI QIDQ2397196
Anshu Kumar, Raj Kumar, Mukesh Kumar
Publication date: 30 May 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.06.020
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Related Items (21)
Some more solutions of Kadomtsev-Petviashvili equation ⋮ Nonlinear acoustic wave structures to the Zabolotskaya-Khokholov dynamical model ⋮ Lie symmetry analysis of the nonlinear Schrödinger equation with time dependent variable coefficients ⋮ A Laplace substitution method of space‐time fractional order including jumbled partial derivatives ⋮ Invariant analysis and conservation laws for the time fractional \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis ⋮ Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach ⋮ Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach ⋮ Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation ⋮ Lie symmetry analysis and some exact solutions of \((2+1)\)-dimensional KdV-Burgers equation ⋮ Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation ⋮ Exact solutions of Zabolotskaya–Khokhlov equation using optimal system ⋮ Group classification for isothermal drift flux model of two phase flows ⋮ Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach ⋮ Some more similarity solutions of the \((2+1)\)-dimensional BLP system ⋮ Application of Lie groups to compressible model of two-phase flows ⋮ Similarity solutions of the Konopelchenko-Dubrovsky system using Lie group theory ⋮ Soliton solutions of KD system using similarity transformations method ⋮ Lie symmetry reductions and solitary wave solutions of modified equal width wave equation ⋮ A comparative approach to the solution of the Zabolotskaya-Khokhlov equation by iteration methods ⋮ Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation ⋮ Classical Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave system
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