Solitons of the vector KdV and Yamilov lattices

DOI10.1088/1751-8121/ab4b10OpenAlexW3098476608MaRDI QIDQ5872783

Vadim E. Vekslerchik

Publication date: 4 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07228

zbMATH Keywords

determinants\(N\)-soliton solutionsvector KdV latticevector Yamilov lattice

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Solitons of some nonlinear sigma-like models

Cites Work

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• Linearizing integral transform for the multicomponent lattice KP
• On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations
• On Hirota's difference equations
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• The discrete Korteweg-de Vries equation
• Explicit solutions for a nonlinear vector model on the triangular lattice
• Solitons of a vector model on the honeycomb lattice
• Symmetries as integrability criteria for differential difference equations
• Soliton fay identities: II. Bright soliton case
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
• A search for bilinear equations passing Hirota’s three-soliton condition. III. Sine–Gordon-type bilinear equations
• Negative Volterra flows

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