On the similarity solutions of the KdV equation with variable coefficients

DOI10.1016/0020-7462(87)90037-0zbMath0645.35083OpenAlexW2035819377MaRDI QIDQ1103118

Francesco Olivieri

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90037-0

zbMATH Keywords

existencePainlevé equationsimilarity solutionsmodified Korteweg-de Vries equationinvariant solutionscylindrical KdV equationLie group techniquesspherical KdV equation

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Backlund transformation for the variable coefficient korteweg-de vries equation ⋮ On wave propagation in porous media with strain gradient effects ⋮ How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones

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