Constructing the multicomponent coupling Davey-Stewardson (DS) hierarchy with pseudodifferential operator

DOI10.1016/J.CHAOS.2007.09.069zbMath1198.37097OpenAlexW1989643713MaRDI QIDQ601372

Hong-Qing Zhang, Fa-Jun Yu

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.069

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) 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)

Cites Work

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• The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
• Fractional powers of operators and Hamiltonian systems
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Enlarging spectral problems to construct integrable couplings of soliton equations
• Adjoint symmetry constraints of multicomponent AKNS equations.
• A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
• The Modified Korteweg-de Vries Equation
• Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• New type of Kadomtsev–Petviashvili equation with self-consistent sources and its bilinear Bäcklund transformation
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem

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