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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 3, Pages 496–513
DOI: https://doi.org/10.4213/tmf6657 (Mi tmf6657) 		 
Integrability of differential–difference equations with discrete kinks

Ch. Scimiternaab, D. Leviab

a INFN, Sezione di Roma Tre, Roma, Italy
b Dipartimento di Ingegneria Elettronica, Università di Roma Tre, Roma, Italy
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DOI: https://doi.org/10.4213/tmf6657
Abstract: We discuss a series of models introduced by Barashenkov, Oxtoby, and Pelinovsky to describe some discrete approximations of the ϕ4 theory that preserve traveling kink solutions. Using the multiple scale test, we show that they have some integrability properties because they pass the A1 and A2 conditions, but they are nonintegrable because they fail the A3 conditions.
Keywords: lattice equation, kink solution, multiscale expansion, integrable equation.
Received: 23.06.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 3, Pages 826–842
DOI: https://doi.org/10.1007/s11232-011-0066-2
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Document Type: Article
Language: Russian
Citation: Ch. Scimiterna, D. Levi, “Integrability of differential–difference equations with discrete kinks”, TMF, 167:3 (2011), 496–513; Theoret. and Math. Phys., 167:3 (2011), 826–842
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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