Geodesic
Wave solutions of semilinear parabolic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 1, pp. 25-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. G. Danilov; P. Yu. Subochev. Wave solutions of semilinear parabolic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 1, pp. 25-47. http://geodesic.mathdoc.fr/item/TMF_1991_89_1_a3/

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