New conservation laws for inviscid Burgers equation

DOI10.1590/S1807-03022012000300007zbMath1263.76057MaRDI QIDQ1941562

Igor Leite Freire

Publication date: 13 March 2013

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

Full work available at URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300007&lng=en&nrm=iso&tlng=en

zbMATH Keywords

conservation lawsinviscid Burgers equationLie point symmetryIbragimov's theoremnonlinear self-adjoint equationsweak self-adjoint equations

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (12)

Symmetries and conservation laws of a time dependent nonlinear reaction-convection-diffusion equation ⋮ Nonlinear self-adjointness and conservation laws of the variable coefficient combined KdV equation with a forced term ⋮ Burgers' equations in the Riemannian geometry associated with first-order differential equations ⋮ Lie point symmetries, conservation laws, and solutions of a space dependent reaction-diffusion equation ⋮ On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models ⋮ Nonlinear self-adjointness of a class of third order nonlinear dispersive equations ⋮ Conservation laws and exact solutions for a reaction-diffusion equation with a variable coefficient ⋮ Nonlinear self-adjoint classification of a Burgers-KdV family of equations ⋮ Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation ⋮ Nonlinear self-adjointness and generalized conserved quantities of the inviscid Burgers' equation with nonlinear source ⋮ Group analysis of the Novikov equation ⋮ Conservation laws of inviscid Burgers equation with nonlinear damping

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