New exact solutions to the one-dimensional nonlinear diffusion equation

DOI10.1007/BF02673043zbMath0880.35054MaRDI QIDQ1375036

Edward Ivanovich Semenov, Gennandij Alekseevich Rudykh

Publication date: 5 January 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

exact solutionnonlinear diffusion equationLiouville equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (6)

New exact solutions of the diffusion equation with power nonlinearity ⋮ Unnamed Item ⋮ Exact solutions of the nonlinear diffusion equation ⋮ Exact solutions of the generalized Richards equation with power-law nonlinearities ⋮ The Lambert function and exact solutions of nonlinear parabolic equations ⋮ Non-self-similar solutions of multidimensional nonlinear diffusion equations

Cites Work

• On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
• The construction of exact solutions of the multidimensional quasilinear heat-conduction equation
• Exact solutions and invariant spaces for nonlinear gradient diffusion equations
• Exact anisotropic solutions of the multidimensional equation of non-stationary flow in a porous medium
• Group Transformations and the Nonlinear Heat Diffusion Equation
• EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS
• Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
• A global existence theorem for a nonlinear system and the defect index of a linear operator
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