Nonlinear differential equations as invariants under group action on coset bundles: Burgers and Korteweg-de Vries equation families

DOI10.1016/0022-247X(86)90088-0zbMath0663.58002OpenAlexW2007632921WikidataQ115364549 ScholiaQ115364549MaRDI QIDQ1114200

Ladislav Hlavatý, Kurt Bernardo Wolf, Stanly L. Steinberg

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90088-0

zbMATH Keywords

group actionnonlinear differential equationKorteweg-de Vries equationsBurgers-type differential equationscoset bundlegroup-subgroup chains

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Partial differential equations of mathematical physics and other areas of application (35Q99) Differentiable maps on manifolds (58C25)

Related Items (1)

2N Parameter Solutions to the Burgers' Equation

Cites Work

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• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• Invariance Group of the Equation$\partial {\bf u} / \partial t = - {\bf u} \cdot \nabla {\bf u}$
• On a quasi-linear parabolic equation occurring in aerodynamics

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