Nonlinear systems of the Burgers-type equations: Lie and \(Q\)-conditional symmetries, ansätze and solutions.

DOI10.1016/S0022-247X(03)00155-0zbMath1073.35192MaRDI QIDQ1399396

Mykola Serov, Roman M. Cherniha

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

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

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Cites Work

• Conditional invariance and exact solutions of the nonlinear heat equation
• Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. I
• Some symmetries of the nonlinear heat and wave equations
• Nonlinear partial differential equations in engineering. Vol. II
• Galilei-invariant nonlinear systems of evolution equations
• Evolution equations invariant under two-dimensional space–time Schrödinger group
• Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms
• Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal
• Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I
• Nonlinear Galilei-invariant PDEs with infinite-dimensional Lie symmetry
• Lie symmetries of nonlinear two-dimensional reaction-diffusion systems
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