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Soliton Solutions of a Generalization of the Coupled Volterra System

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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.

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  1. Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, 119333, Moscow, Russia

    Yu. V. Bibik & S. P. Popov

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  1. Yu. V. Bibik
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Translated by A. Klimontovich

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Bibik, Y.V., Popov, S.P. Soliton Solutions of a Generalization of the Coupled Volterra System. Comput. Math. and Math. Phys. 59, 1806–1815 (2019). https://doi.org/10.1134/S0965542519110034

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