The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures

DOI10.1016/j.chaos.2006.07.029zbMath1142.37047OpenAlexW2020847575MaRDI QIDQ2476919

Fucai You, Tie-cheng Xia

Publication date: 12 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.07.029

zbMATH Keywords

loop algebraisospectral problemintegrable hierarchyquadratic-form identityTu scheme

Mathematics Subject Classification ID

Related Items (10)

Unnamed Item ⋮ The integrable couplings of the modified Jaulent-Miodek hierarchy and its Hamiltonian structure ⋮ Application of a semi-direct sum of Lie algebras to the TD hierarchy ⋮ The quasi-AKNS and quasi-\(s o(3)\) type AKNS hierarchies as well as a gallery of simple Lie algebras contained in \(s l(3; \mathbb{C})\) ⋮ Invariant analysis of the linear time-space fractional \((2+1)\)-dimensional Burgers equation ⋮ A study on the \((2 + 1)\)-dimensional and the \((2 + 1)\)-dimensional higher-order Burgers equations ⋮ Burgers hierarchy: multiple kink solutions and multiple singular kink solutions ⋮ Tri-integrable couplings of the Giachetti-Johnson soliton hierarchy as well as their Hamiltonian structure ⋮ Nonlinear super integrable Hamiltonian couplings ⋮ A study on a \((2+1)\)-dimensional and a \((3+1)\)-dimensional generalized Burgers equation

Cites Work

• Unnamed Item
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• Expansion of the Lie algebra and its applications
• Integrable theory of the perturbation equations.
• A generalized AKNS hierarchy and its bi-Hamiltonian structures
• A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system
• The Modified Korteweg-de Vries Equation
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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