Exact solutions of the nonlinear diffusion equation u(t) = Delta log u plus lambda u in a two-dimensional coordinate space

Authors
Zhuravlev, VM
Citation
Vm. Zhuravlev, Exact solutions of the nonlinear diffusion equation u(t) = Delta log u plus lambda u in a two-dimensional coordinate space, THEOR MATH, 124(2), 2000, pp. 1082-1093
Citations number
10
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
124
Issue
2
Year of publication
2000
Pages
1082 - 1093
Database
ISI
SICI code
0040-5779(200008)124:2<1082:ESOTND>2.0.ZU;2-Q
Abstract
Investigating exact solutions of the nonlinear diffusion equation, which ar ises in wave problems in hydro-dynamics and heat transfer processes, we fin d new classes of solutions of this equation in a, two-dimensional coordinat e space and demonstrate a special superposition principle that allows const ructing complex multimode solutions from the simplest two- and three-mode s olutions.