Symmetry reductions and exact solutions for a class of nonlinear PDEs

DOI10.1142/S1793557116500613zbMath1348.35016MaRDI QIDQ2818305

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Publication date: 7 September 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riccati equationexact explicit solutionsLie symmetry

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Solutions to PDEs in closed form (35C05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

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Cites Work

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• The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations
• Symmetry and integration methods for differential equations
• Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations