INVERSE SOLUTION FOR SOME TRAVELING-WAVE REACTION DIFFUSION-PROBLEMS

被引:6
|
作者
BORZI, C
FRISCH, HL
GIANOTTI, R
PERCUS, JK
机构
[1] IFLYSIB, RA-1800 LA PLATA, ARGENTINA
[2] NYU, COURANT INST MATH SCI, NEW YORK, NY 10012 USA
[3] NYU, DEPT PHYS, NEW YORK, NY 10021 USA
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关键词
D O I
10.1088/0305-4470/23/21/022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The authors obtain a novel infinite parametric class of exact, stable travelling-wave solutions of the one-component, one-dimensional reaction diffusion equation by means of an inverse method. A number of explicit examples are worked out in terms of elementary functions. Some special cases of two-component, travelling-wave, reaction-diffusion problems can be reduced to the one-component case and thus solved by this method.
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页码:4823 / 4830
页数:8
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