Inverse solution for some travelling-wave reaction-diffusion problems

C. Borzi, H. L. Frisch, R. Gianotti, J. K. Percus

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number022
Pages (from-to)4823-4830
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number21
StatePublished - 1990

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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