Similarity reductions of the (1 + 3)-dimensional Burgers equation

DOI10.1016/j.amc.2008.11.032zbMath1163.35470OpenAlexW2094889024MaRDI QIDQ1015785

Marios A. Christou, Christodoulos Sophocleous, Nataliya M. Ivanova

Publication date: 30 April 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.032

zbMATH Keywords

Burgers equationsimilarity reductionsLie and non-Lie solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Solutions to PDEs in closed form (35C05)

Related Items

Lie group analysis of two-dimensional variable-coefficient Burgers equation, Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients, Numerical similarity reductions of the (1+3)-dimensional Burgers equation

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