Structure of Binary Transformations of Darboux Type and Their Application to Soliton Theory

DOI10.1023/B:UKMA.0000031664.23436.5azbMath1076.37525OpenAlexW1985461706MaRDI QIDQ5693727

Yarema A. Prykarpatsky, A. M. Samoilenko, Valeriy H. Samoylenko

Publication date: 28 September 2005

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:ukma.0000031664.23436.5a

zbMATH Keywords

soliton theorytransformation operatorgeneralized Lagrange identityDarboux-Bäcklund-type transformationnonlinear two-dimensional evolutionary equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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