ArticleOriginal scientific text

Title

Periodic travelling waves

Authors 1, 2

Affiliations

  1. Department of Applied Mathematics, The University of Sheffield, Sheffield S3 7RH, United Kingdom
  2. Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.

Abstract

Some new techniques for finding periodic travelling waves are discussed.

Bibliography

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  3. R. Gardner, Existence of travelling wave solution of predator prey systems via the Conley index, SIAM J. Appl. Math. 44 (1984), 56-76.
  4. T. Gedeon, H. Kokubu, K. Mischaikow, H. Oka, and J. Reineck, The Conley index for fast-slow systems I: One-dimensional slow variables, J. Diff. Eq. Dyn., to appear.
  5. W. Huang, Uniqueness of bistable traveling wave for mutualist species, preprint 1998.
  6. A. W. Leung, Systems of Nonlinear Partial Differential Equations, Kluwer, Dordrecht, 1989.
  7. K. Mischaikow and V. Hutson, Travelling waves for mutualist species, SIAM J. Math. Anal. 24 (1993), 987-1008.
  8. K. Mischaikow and J. Reineck, Travelling waves in predator prey systems, SIAM J. Math. Anal. 24 (1993).
Pages:
109-114
Main language of publication
English
Published
1999
Exact and natural sciences