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This article is cited in 3 scientific papers (total in 3 papers)
Theoretical and Mathematical Physics
May kink solution to the nonlinear Klein–Gordon equation be classified as a soliton?
D. V. Zavialova, V. I. Kontchenkova, S. V. Kryuchkovab a Volgograd State Technical University
b Volgograd State Socio-Pedagogical University
Abstract:
Existence of the soliton solution to the generalized sine–Gordon equation (also known as the Kryuchkov–Kukhar’ equation) is numerically studied. The equation can be used to describe propagation of electromagnetic waves in a graphene-based superlattice. Calculation errors related to implicit representation of the kink solution to the equation under study are estimated. Variations in the shapes of kinks that move in opposite directions are studied prior to and after collision. The results show that the kink solution is not a soliton.
Keywords:
graphene superlattice, sine-Gordon equation, kink, soliton.
Received: 25.10.2018 Revised: 25.10.2018 Accepted: 29.04.2019
Citation:
D. V. Zavialov, V. I. Kontchenkov, S. V. Kryuchkov, “May kink solution to the nonlinear Klein–Gordon equation be classified as a soliton?”, Zhurnal Tekhnicheskoi Fiziki, 89:10 (2019), 1473–1476; Tech. Phys., 64:10 (2019), 1391–1394
Linking options:
https://www.mathnet.ru/eng/jtf5481 https://www.mathnet.ru/eng/jtf/v89/i10/p1473
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