Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy
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Publication:5253715
DOI10.1063/1.3462736zbMath1312.35156OpenAlexW2090505566MaRDI QIDQ5253715
Publication date: 27 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3462736
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) Isospectrality (58J53)
Related Items (11)
Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation ⋮ Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling ⋮ Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System ⋮ Tri-integrable couplings of the Giachetti-Johnson soliton hierarchy as well as their Hamiltonian structure ⋮ The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures ⋮ Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures ⋮ A few Lie algebras and their applications for generating integrable hierarchies of evolution types ⋮ Some generalized isospectral-nonisospectral integrable hierarchies ⋮ Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies ⋮ Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures ⋮ Nonlinear super integrable Hamiltonian couplings
Cites Work
- Two unified formulae
- Integrable hierarchy, \(3\times 3\) constrained systems, and parametric solutions
- Integrable theory of the perturbation equations.
- Nonlinear Schrödinger equations and simple Lie algebras
- A new integrable hierarchy, parametric solutions and traveling wave solutions
- A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
- The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
- A simple method for generating integrable hierarchies with multi-potential functions
- Vector loop algebra and its applications to integrable system
- On the Extension of Inverse Scattering Method
- Algebro-geometric solutions of (2+1)-dimensional coupled modified Kadomtsev–Petviashvili equations
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- COUPLING INTEGRABLE COUPLINGS
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- A symmetry approach to exactly solvable evolution equations
- A direct method for integrable couplings of TD hierarchy
- A bi-Hamiltonian formulation for triangular systems by perturbations
- A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
- Three kinds of coupling integrable couplings of the Korteweg–de Vries hierarchy of evolution equations
- The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
- Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
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- Unnamed Item
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