Bilinear Characterization of Higher Order Ito-Equations

DOI10.1143/JPSJ.65.1222zbMath0958.37502OpenAlexW1990171594MaRDI QIDQ4491563

Ignace Loris, Xing-Biao Hu, Johan Springael

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.65.1222

zbMATH Keywords

Bäcklund transformationLax pairHirota methodsoliton systems

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)

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Hamiltonian structures for Ito's equation ⋮ Resonance of solitons in a coupled higher-order Ito equation ⋮ Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations ⋮ Soliton solution of a multi-component higher-order Ito equation ⋮ On construction of recursion operators from Lax representation

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