Nonlocal symmetries and generation of solutions for partial differential equations

DOI10.3842/SIGMA.2007.019zbMath1135.35310arXivmath-ph/0702033OpenAlexW2137196488WikidataQ115219734 ScholiaQ115219734MaRDI QIDQ2473415

O. Tertyshnyk, Olga Petrova, Valentyn Tychynin

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702033

zbMATH Keywords

Burgers equationnonlinear heat equationnonlinear superposition principleformulae for generation of solutionsLie classical symmetry

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Second-order nonlinear hyperbolic equations (35L70) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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