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Complete integrability and complex solitons for generalized Volterra system with branched dispersion

Department of Physics, University of Craiova, 13 A.I. Cuza Street, Craiova 200585, Romania

https://doi.org/10.1142/S0217979220502744Cited by:12 (Source: Crossref)

Abstract

In this paper, we show that complete integrability is preserved in a multicomponent differential-difference Volterra system with branched dispersion relation. Using the Hirota bilinear formalism, we construct multisoliton solutions for a system of coupled $M$ $M$ equations. We also show that one can obtain the same solutions through a periodic reduction starting from a two-dimensional completely integrable generalized Volterra system. For some particular cases, graphical representations of solitons are displayed and stability is discussed using an asymptotic analysis.

Keywords:

PACS: 02.30.Ik, 05.45.-a, 05.45.Yv

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