Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima–Oikawa hierarchy
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Publication:5284276
DOI10.1063/1.531510zbMath0864.58026OpenAlexW1969975865MaRDI QIDQ5284276
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Publication date: 22 January 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531510
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Related Items (7)
General bright-dark soliton solution to \((2+1)\)-dimensional multi-component long-wave-short-wave resonance interaction system ⋮ The coupled modified Yajima-Oikawa system: model derivation and soliton solutions ⋮ Some comments on the bi(tri)-Hamiltonian structure of generalized AKNS and DNLS hierarchies ⋮ Hierarchies of evolution equations associated with certain symmetric spaces ⋮ Matrix formulation of Hamiltonian structures of constrained KP hierarchy ⋮ A Vector Fokas-Lenells System from the Coupled Nonlinear Schrödinger Equations ⋮ Factorisation of recursion operators of some Lagrangian systems
Cites Work
- Nonlinear Schrödinger equations and simple Lie algebras
- The group of local biholomorphisms of \({\mathbb{C}}^ 1\) and conformal field theory in the operator formalism
- Constrained KP hierarchy and bi-Hamiltonian structures
- Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
- The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated \(W\) algebra
- Modifications of \(k\)-constrained KP hierarchy
- R-matrices and higher Poisson brackets for integrable systems
- Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
- Recursion Operators for NxN Matrix Nonlinear Evolution Equations
- Application of hereditary symmetries to nonlinear evolution equations
- Symmetry constraints of the KP hierarchy
- Constraints of the Kadomtsev–Petviashvili hierarchy
- Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
- ON THE CLASSICAL WN(l) ALGEBRAS
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