Hamiltonian structures for Ito's equation

DOI10.1016/S0375-9601(00)00684-8zbMath1273.35240OpenAlexW2089901716MaRDI QIDQ2644117

Yanyan Li

Publication date: 7 September 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00684-8

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear first-order PDEs (35F20)

Related Items (7)

Hamiltonian structures of a coupled Ramani equation ⋮ A super Sawada-Kotera hierarchy ⋮ Resonance of solitons in a coupled higher-order Ito equation ⋮ Rogue wave and interaction phenomenon to \((1+1)\)-dimensional Ito equation ⋮ Computational solutions of the generalized Ito equation in nonlinear dispersive systems ⋮ New interaction solutions to (1+1)-dimensional Ito equation ⋮ Energy preserving integration of bi-Hamiltonian partial differential equations

Cites Work

• Solitons and infinite dimensional Lie algebras
• Lie algebras and equations of Korteweg-de Vries type
• Constrained KP hierarchy and bi-Hamiltonian structures
• R-matrices and higher Poisson brackets for integrable systems
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
• Hamiltonian structures of the Melnikov system and its reductions
• Bilinear Characterization of Higher Order Ito-Equations
• On construction of recursion operators from Lax representation

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