A new multi-component integrable coupling and its application to isospectral and nonisospectral problems
From MaRDI portal
Publication:2060641
DOI10.1016/j.cnsns.2021.106075zbMath1485.37065OpenAlexW3208658877MaRDI QIDQ2060641
Publication date: 13 December 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106075
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
Multi-component super integrable Hamiltonian hierarchies ⋮ A novel kind of a multicomponent hierarchy of discrete soliton equations and its application ⋮ A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies ⋮ A multi-component super integrable Dirac hierarchy ⋮ Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell–Bloch system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The extended \(Z_N\)-Toda hierarchy
- A few continuous and discrete dynamical systems
- The Frobenius-Virasoro algebra and Euler equations
- A few integrable systems and spatial spectral transformations
- Integrable theory of the perturbation equations.
- An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
- Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials
- A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems
- \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems
- Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures
- Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation
- Hamiltonian structure of the integrable couplings for the multicomponent Dirac hierarchy
- A simple method for generating integrable hierarchies with multi-potential functions
- Gauge transformation and symmetries of the commutative multicomponent BKP hierarchy
- Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions
- APPLICATIONS OF THE LIE ALGEBRA gl(2)
- New 2+1 dimensional nonisospectral Toda lattice hierarchy
- Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy
- Non-isospectral deformations and Darboux transformations for the third-order spectral problem
- Component-trace identities for Hamiltonian structures
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Multicomponent equations associated to non-isospectral scattering problems
- On a new non-isospectral variant of the Boussinesq hierarchy
- Nonisospectral scattering problems: A key to integrable hierarchies
- Nonisospectral Flows on Semi-infinite Jacobi Matrices
- Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling
- Darboux transformations of integrable couplings and applications
- A novel kind of AKNS integrable couplings and their Hamiltonian structures
- A nonconfocal involutive system and constrained flows associated with the MKdV− equation
- A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
- Affine Weyl group symmetries of Frobenius Painlevé equations
- Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
