A new fractional order soliton equation hierarchy and its integrable coupling system

DOI10.1016/j.amc.2007.04.022zbMath1193.37095OpenAlexW2082560624MaRDI QIDQ990670

Hong-Qing Zhang, Fa-Jun Yu

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.022

zbMATH Keywords

fractional orderintegrable coupling systemsoliton equation hierarchy

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies ⋮ A super-discrete variational identity and its application for constructing super-discrete Hamiltonian systems

Cites Work

• Integrable theory of the perturbation equations.
• Enlarging spectral problems to construct integrable couplings of soliton equations
• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• The Modified Korteweg-de Vries Equation
• Integrable couplings of vector AKNS soliton equations
• The algebraic structure of zero curvature representations and application to coupled KdV systems
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
• A direct method for integrable couplings of TD hierarchy
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