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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1991 Volume 89, Number 1, Pages 25–47 (Mi tmf5844)

This article is cited in 13 papers

Wave solutions of semilinear parabolic equations

V. G. Danilov, P. Yu. Subochev


Abstract: Interactions of nonlinear waves (kinks) described by semilinear parabolic equations are investigated. Exact two-phase solutions that generalize Newell's solutions are constructed for nonlinearities having the form of a cubic polynomial. An asymptotic solution describing the interaction of kinks propagating in a strip between the roots of the nonlinearity is obtained for the Kolmogorov–Petrovskii–Piskunov–Fisher equation.

Received: 25.02.1991


 English version:
Theoretical and Mathematical Physics, 1991, 89:1, 1029–1046

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