Soliton Solutions of a Generalization of the Coupled Volterra System
- Authors: Bibik Y.V.1, Popov S.P.1
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Affiliations:
- Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Issue: Vol 59, No 11 (2019)
- Pages: 1806-1815
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180880
- DOI: https://doi.org/10.1134/S0965542519110034
- ID: 180880
Cite item
Abstract
The possibility of finding soliton solutions of a nonintegrable generalization of the coupled Volterra system is studied. This generalization is a system of two equations each of which includes terms that take into account the spatial dependence. At the first stage, the continual limit of the generalization is studied. At the second stage, soliton solutions for the continual limit are sought. At the third, final, step, soliton solutions of the nonintegrable generalization are sought.
About the authors
Yu. V. Bibik
Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Author for correspondence.
Email: yvbibik@ccas.ru
Russian Federation, Moscow, 119333
S. P. Popov
Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Author for correspondence.
Email: sppopov@yandex.ru
Russian Federation, Moscow, 119333
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