Some traveling wave solutions for the dissipative Zabolotskaya–Khokhlov equation
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Publication:3583640
DOI10.1063/1.3204507zbMath1216.35111OpenAlexW2035656423MaRDI QIDQ3583640
Rita Tracinà, Mariano Torrisi, Maria de los Santos Bruzon Gallego, Maria Luz Gandarias
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3204507
KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Traveling wave solutions (35C07)
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Cites Work
- The Khokhlov-Zabolotskaya-Kuznetsov equation
- Reductive perturbation method for quasi one-dimensional nonlinear wave propagation. I
- On a new procedure for finding nonclassical symmetries
- Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions
- Algorithms for the Nonclassical Method of Symmetry Reductions
- Similarity Reductions of the Zabolotskaya-Khokhlov Equation with a Dissipative Term
- Nonclassical symmetry reductions and exact solutions of the Zabolotskaya–Khokhlov equation
- Classical and nonclassical symmetries for a Kuramoto–Sivashinsky equation with dispersive effects
- Applying a new algorithm to derive nonclassical symmetries
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