Integrable counterparts of the D-Kaup-Newell soliton hierarchy
From MaRDI portal
Publication:298485
DOI10.1016/j.amc.2014.09.105zbMath1338.37093OpenAlexW2077285564MaRDI QIDQ298485
Chang-Guang Shi, Morgan McAnally, Wen-Xiu Ma
Publication date: 20 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.105
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)
Related Items
An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy, Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy, Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures, Reduced D-Kaup–Newell soliton hierarchies from sl(2,ℝ) and so(3,ℝ)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new Lie algebra along with its induced Lie algebra and associated with applications
- Integrable theory of the perturbation equations.
- A soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\)
- Two hierarchies of new nonlinear evolution equations associated with \(3 \times 3\) matrix spectral problems
- Two integrable couplings of the Tu hierarchy and their Hamiltonian structures
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Bihamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy
- Adjoint symmetry constraints of multicomponent AKNS equations.
- Binary Bargmann symmetry constraints of soliton equations.
- A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
- The soliton equations associated with the affine Kac-Moody Lie algebra \(G_{2}^{(1)}\)
- New Integrable Nonlinear Evolution Equations
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces
- The algebraic structures of isospectral Lax operators and applications to integrable equations
- Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
- An exact solution for a derivative nonlinear Schrödinger equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- A Hierarchy of Coupled Korteweg–de Vries Equations and the Corresponding Finite-Dimensional Integrable System
- Four Lie algebras associated with R6 and their applications
- A spectral problem based on so$(3,\mathbb {R})$(3,R) and its associated commuting soliton equations
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- Integrals of nonlinear equations of evolution and solitary waves
- Two types of new Lie algebras and corresponding hierarchies of evolution equations
- An integrable counterpart of the D-AKNS soliton hierarchy from \(\mathrm{so}(3,\mathbb R)\)
