Lie symmetries of nonlinear boundary value problems

DOI10.1016/j.cnsns.2011.04.028zbMath1387.35111arXiv1012.5606OpenAlexW2028496490MaRDI QIDQ430238

Sergii Kovalenko, Roman M. Cherniha

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5606

zbMATH Keywords

exact solutionLie symmetrytraveling wave solutionStefan boundary value problem

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Traveling wave solutions (35C07)

Related Items (10)

Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense ⋮ Exact solution for a two-phase Stefan problem with power-type latent heat ⋮ A \((1+2)\)-dimensional simplified Keller-Segel model: Lie symmetry and exact solutions. II ⋮ Lie symmetry analysis for two-phase flow with mass transfer ⋮ One-dimensional non-Darcy flow in a semi-infinite porous media: a multiphase implicit Stefan problem with phases divided by hydraulic gradients ⋮ Symmetries of spacetimes embedded with an electromagnetic string fluid ⋮ Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries ⋮ Symmetry methods for option pricing ⋮ Similarity solutions of fractional parabolic boundary value problems with uncertainty ⋮ Analytical solution for one-dimensional radial flow caused by line source in porous medium with threshold pressure gradient

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