Similarity solutions of the Burgers equation with linear damping.
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Publication:1767205
DOI10.1016/j.aml.2003.06.013zbMath1062.35117OpenAlexW2067518567MaRDI QIDQ1767205
B. Mayil Vaganan, M. Senthil Kumaran
Publication date: 7 March 2005
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2003.06.013
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 (5)
On the generalized Burgers equation ⋮ The generalized Cole-Hopf transformation to a general variable coefficient Burgers equation with linear damping term ⋮ INTEGRABLE PROPERTIES AND SIMILARITY REDUCTIONS OF THE SINE-LAPLACE EQUATION FROM AN INVISCID INCOMPRESSIBLE FLUID WITH SYMBOLIC COMPUTATION ⋮ A new similarity solution of the Burgers equation with linear damping ⋮ Some new exact solutions for MHD aligned creeping flow and heat transfer in second-grade fluids by using Lie group analysis
Cites Work
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- Automatically determining symmetries of partial differential equations
- Two generalisations of Burgers' equation
- Similarity methods for differential equations
- The construction of special solutions to partial differential equations
- Group-Invariant Solutions of Differential Equations
- Generalized Burgers equations and Euler–Painlevé transcendents. I
- Generalized Burgers equations and Euler–Painlevé transcendents. II
- Generalized Burgers equations and Euler–Painlevé transcendents. III
- New classes of symmetries for partial differential equations
- Invariant variation problems
- Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
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