Nonlinear diffusion equation and nonlinear external force: Exact solution

DOI10.1063/1.2354334zbMath1112.82037OpenAlexW2089853199MaRDI QIDQ3442063

P. C. Jun. Assis, P. C. Fernandes Da Silva, Marcelo K. Lenzi, Luciano R. da Silva, Ervin Kaminski Lenzi

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2354334

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70)

Related Items (5)

Tsallis' maximum entropy ansatz leading to exact analytical time dependent wave packet solutions of a nonlinear Schrödinger equation ⋮ Quasi-stationary states of the NRT nonlinear Schrödinger equation ⋮ Exact solutions for a diffusion equation with a nonlinear external force ⋮ Some results for an \({\mathcal{N}}\)-dimensional nonlinear diffusion equation with radial symmetry ⋮ Pilot wave approach to the NRT nonlinear Schrödinger equation

Cites Work

• Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics
• Chaos, fractional kinetics, and anomalous transport
• Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions
• Nonlinear fractional diffusion equation: Exact results
• Viscous sheets advancing over dry beds
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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