May Kink Solution to the Nonlinear Klein–Gordon Equation be Classified as a Soliton?
- Авторы: Zav’yalov D.1, Konchenkov V.1, Kryuchkov S.1,2
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Учреждения:
- Volgograd State Technical University
- Volgograd State Social Pedagogical University
- Выпуск: Том 64, № 10 (2019)
- Страницы: 1391-1394
- Раздел: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/204176
- DOI: https://doi.org/10.1134/S1063784219100256
- ID: 204176
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Аннотация
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.
Об авторах
D. Zav’yalov
Volgograd State Technical University
Email: svkruchkov@yandex.ru
Россия, Volgograd, 400005
V. Konchenkov
Volgograd State Technical University
Email: svkruchkov@yandex.ru
Россия, Volgograd, 400005
S. Kryuchkov
Volgograd State Technical University; Volgograd State Social Pedagogical University
Автор, ответственный за переписку.
Email: svkruchkov@yandex.ru
Россия, Volgograd, 400005; Volgograd, 400066