Integrable discretisations of Volterra system with multiple branches of dispersion-Reference-Cited by-同舟云学术

Integrable discretisations of Volterra system with multiple branches of dispersion

Published:2020-12-08 Issue:05 Volume:35 Page:2150097
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Babalic Corina N.¹^ORCID

Affiliation:

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

Abstract

Two integrable discretizations of general differential-difference coupled Volterra equations with multiple branches of dispersion are constructed using the Hirota bilinear formalism. The multi-soliton solutions are built and discussed for both discretizations and the nonlinear forms of completely discretized Volterra system are recovered.

Funder

European Social Fund

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984921500974

Reference22 articles.

1. Integrable lattice equations and their growth properties

2. Do integrable mappings have the Painlevé property?

3. Classification of Integrable Equations on Quad-Graphs. The Consistency Approach

4. Time-discretization of soliton equations

5. The Direct Method in Soliton Theory

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