A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem
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Publication:6579631
DOI10.1088/1572-9494/ad3dd9zbMath1544.37051MaRDI QIDQ6579631
Publication date: 25 July 2024
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
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) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Related Items (3)
Integrable couplings stemming from three-dimensional unital algebras ⋮ Novel integrable Hamiltonian hierarchies with six potentials ⋮ A combined generalized Kaup-Newell soliton hierarchy and its hereditary recursion operator and bi-Hamiltonian structure
Cites Work
- Unnamed Item
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- How many first integrals imply integrability in infinite-dimensional Hamilton system
- A generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformation
- Multi-component bi-Hamiltonian Dirac integrable equations
- A dressing method in mathematical physics.
- A soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\)
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Lie algebras and equations of Korteweg-de Vries type
- Coupled KdV equations with multi-Hamiltonian structures
- Adjoint symmetry constraints of multicomponent AKNS equations.
- Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation
- Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation
- Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations
- Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- Finite-dimensional Liouville integrable hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints
- Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations
- Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
- New Integrable Nonlinear Evolution Equations
- Symmetries for exact solutions to the nonlinear Schrödinger equation
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- Integrable Models
- An exact solution for a derivative nonlinear Schrödinger equation
- A simple model of the integrable Hamiltonian equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- The algebraic structure of zero curvature representations and application to coupled KdV systems
- Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
- A Few Expanding Integrable Models, Hamiltonian Structures and Constrained Flows
- Nonlinear evolution equations related to Kac-Moody algebras $A_r^{(1)}$: spectral aspects
- Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation
- Integrals of nonlinear equations of evolution and solitary waves
- An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
- Reduced nonlocal integrable mKdV equations of type (−λ, λ) and their exact soliton solutions
- Four-component integrable hierarchies and their Hamiltonian structures
- Reduced AKNS spectral problems and associated complex matrix integrable models
- Integrable nonlocal nonlinear Schrödinger hierarchies of type \((-\lambda*,\lambda)\) and soliton solutions
- Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs
- AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials
- Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ)
- Algebro-geometric solutions of the modified Jaulent-Miodek hierarchy
- Novel Liouville integrable Hamiltonian models with six components and three signs
- A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations
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