For citation:
Zhuravlev V. M. Models of auto-wave processes in nonlinear media with diffusion and Liouville equations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2001, vol. 9, iss. 6, pp. 115-128. DOI: 10.18500/0869-6632-2001-9-6-115-128
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Russian
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Article
UDC:
531.01:517.9
Models of auto-wave processes in nonlinear media with diffusion and Liouville equations
Autors:
Zhuravlev Viktor Mikhailovich, Ulyanovsk State University
Abstract:
The models of auto-wave processes in media with diffusion in two-dimensional and four-dimensional spaces with some types of nonlinear sources connected with the
Liouville equations are considered. The special role of the Liouville equation in the theory of two-dimensional nonlinear processes with diffusion is shown. The new classes
of the exact solutions in the auto-waves problem in two-dimensional and four-dimensional spaces are found.
Key words:
Acknowledgments:
The work was supported by the RFBR (project № 00-01-00260).
Reference:
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Received:
20.12.2000
Accepted:
10.07.2001
Published:
30.04.2002
Journal issue:
- 91 reads