Exact solutions of the nonlinear diffusion equationu
t=Δlogu+λu in a two-dimensional coordinate space |
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Authors: | V M Zhuravlev |
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Institution: | (1) Institute for Theoretical Physics, Ul'yanovsk State University, Ul'yanovsk, Russia |
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Abstract: | Investigating exact solutions of the nonlinear diffusion equation, which arises in wave problems in hydrodynamics and heat
transfer processes, we find new classes of solutions of this equation in a two-dimensional coordinate space and demonstrate
a special superposition principle that allows constructing complex multimode solutions from the simplest two- and three-mode
solutions.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 2, pp. 265–278, August, 2000. |
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Keywords: | |
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