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Finite travelling waves for semilinear parabolic systems
Published online by Cambridge University Press: 20 January 2009
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In this paper, finite travelling waves for the semilinear parabolic systems
are studied, where di > 0, ei > 0, mij ≥ 0 for all 1 ≤ i,j ≤ n, and 
for all 1 ≤ i ≤ n. Let M = (mij)n × n and A = I – M. It will be proved that (*) has finite travelling waves if and only if all principal minors of A are positive. Moreover, some asymptotic behaviours of finite travelling waves will be obtained.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 1 , February 1999 , pp. 83 - 93
- Copyright
- Copyright © Edinburgh Mathematical Society 1999
References
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