The potential constraints of the complex (1+2)-dimensional soliton systems and related Hamiltonian equations

DOI10.1063/1.532251zbMath0999.37044OpenAlexW2069168766MaRDI QIDQ4260470

Deng-Yuan Chen

Publication date: 3 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532251

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Constraints of the 2+1 dimensional integrable soliton systems
• Constraints of the Kadomtsev–Petviashvili hierarchy
• An exact solution for a derivative nonlinear Schrödinger equation
• A new method to introduce the Möbius function and the Möbius transform

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