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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 1, Pages 25–47
(Mi tmf5844)
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This article is cited in 13 scientific papers (total 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
Citation:
V. G. Danilov, P. Yu. Subochev, “Wave solutions of semilinear parabolic equations”, TMF, 89:1 (1991), 25–47; Theoret. and Math. Phys., 89:1 (1991), 1029–1046
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https://www.mathnet.ru/eng/tmf5844 https://www.mathnet.ru/eng/tmf/v89/i1/p25
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Abstract page: | 428 | Full-text PDF : | 186 | References: | 61 | First page: | 1 |
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