Yang-Baxter maps of KdV, NLS and DNLS type on division rings

DOI10.1016/J.PHYSD.2024.134213zbMATH Open1547.37092MaRDI QIDQ6558872

S. Konstantinou-Rizos, A. A. Nikitina

Publication date: 21 June 2024

Published in: Physica D (Search for Journal in Brave)

KdV type Yang-Baxter maps NLS type Yang-Baxter maps noncommutative Bäcklund transformations noncommutative Darboux transformations noncommutative Yang-Baxter maps

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Integrable difference and lattice equations; integrability tests (39A36) Yang-Baxter equations and Rota-Baxter operators (17B38)

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