Nonsteady waves in distributed dynamical systems

B. A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The paper is devoted to the study of one-dimensional and two-dimensional transient wave regimes in nonlinear systems of the reaction-diffusion type. In a one-dimensional case the process of collision of two travelling waves is considered. It is demonstrated that in the case of a nondispersive nonlinear system, where a steady regime of the collision is not possible, the process can be described by means of an approximation which is nonuniform in a spatial coordinate. The collision results, in a general case, in formation of an oscillatory shock wave moving with varying velocity. In a two-dimensional situation the transition of a rotating vortex into a rotating spiral wave in the case of dispersive systems and the inverse transition in the case of nondispersive systems are considered.

Original languageEnglish
Pages (from-to)353-359
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Issue number3
StatePublished - Sep 1983
Externally publishedYes


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