An integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equation
From MaRDI portal
Publication:371475
DOI10.1016/j.amc.2012.11.086zbMath1338.37098OpenAlexW2083089044MaRDI QIDQ371475
Zhong Han, Hon-Wah Tam, Yu-Feng Zhang
Publication date: 10 October 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.11.086
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items
Hamiltonian forms of the two new integrable systems and two kinds of Darboux transformations, Two \((2+1)\)-dimensional hierarchies of evolution equations and their Hamiltonian structures, Conservation laws analysis of nonlinear partial differential equations and their linear soliton solutions and Hamiltonian structures, On the local fractional variable‐coefficient Ablowitz–Kaup–Newell–Segur hierarchy: Hamiltonian structure, localization of nonlocal symmetries, and exact solution of reduced equations, On differential equations derived from the pseudospherical surfaces, A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy, Some generalized isospectral-nonisospectral integrable hierarchies
Cites Work
- Unnamed Item
- The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
- Hirota bilinear equations with linear subspaces of solutions
- Nonlinear continuous integrable Hamiltonian couplings
- Linear superposition principle applying to Hirota bilinear equations
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- Integrable hierarchy, \(3\times 3\) constrained systems, and parametric solutions
- Soliton equations and simple combinatorics
- Darboux transformations of classical Boussinesq system and its new solutions
- The algebraic structure related to \(L\)-\(A\)-\(B\) triad representations of integrable systems
- A new integrable hierarchy, parametric solutions and traveling wave solutions
- Exponential polynomials
- Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows
- A Multipotential Generalization of the Nonlinear Diffusion Equation
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- Classical Darboux transformations and the KP hierarchy
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- Super extension of Bell polynomials with applications to supersymmetric equations
- New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation
- On the combinatorics of the HirotaD-operators
- 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 direct method for integrable couplings of TD hierarchy
- A powerful approach to generate new integrable systems
- Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation
- Darboux transformations of classical Boussinesq system and its multi-soliton solutions
