Traveling wave solutions for the hyperbolic Cahn-Allen equation / Nizovtseva I. G.,Galenko P. K.,Alexandrov D. V. // CHAOS SOLITONS \& FRACTALS. - 2017. - V. 94, l. . - P. 75-79.

ISSN/EISSN:

0960-0779 / 1873-2887

Type:

Article

Abstract:

Traveling wave solutions of the hyperbolic Cahn-Allen equation are obtained using the first integral method, which follows from well-known Hilbert-Nullstellensatz theorem. The obtained complete class of traveling waves consists of continual and singular solutions. Continual solutions are represented by tanh-profiles and singular solutions exhibit unbounded discontinuity at the origin of coordinate system. With the neglecting inertia of the dynamical system, the obtained traveling waves include the previous solutions for the parabolic Cahn-Allen equation. (C) 2016 Elsevier Ltd. All rights reserved.

Author keywords:

Traveling wave; Cahn-Allen equation; First integral method; Division theorem NONLINEAR EVOLUTION-EQUATIONS; 1ST INTEGRAL METHOD; DE-VRIES EQUATION; BINARY ALLOY; TANH METHOD; MOTION; SYSTEM

DOI:

10.1016/j.chaos.2016.11.010

Web of Science ID:

ISI:000392893900010

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JAN
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
EISSN	1873-2887
Keywords-Plus	NONLINEAR EVOLUTION-EQUATIONS; 1ST INTEGRAL METHOD; DE-VRIES EQUATION; BINARY ALLOY; TANH METHOD; MOTION; SYSTEM
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical
Author-Email	nizovtseva.irina@gmail.com
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10095]; Alexander von Humboldt Foundation {[}1160779]; German Research Foundation (DFG) {[}RE 1261/8-2]
Funding-Text	The authors acknowledge the support from the Russian Science Foundation (project no. 16-11-10095). I.N. specially acknowledges the support of Alexander von Humboldt Foundation (ID 1160779). P.G. specially acknowledges the support from German Research Foundation (DFG Project RE 1261/8-2).
Number-of-Cited-References	32
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	2
Journal-ISO	Chaos Solitons Fractals
Doc-Delivery-Number	EJ0JG