An approach for constructing nonisospectral hierarchies of evolution equations
From MaRDI portal
Publication:4022396
DOI10.1088/0305-4470/25/12/003zbMath0754.35145OpenAlexW2058269591MaRDI QIDQ4022396
Publication date: 17 January 1993
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/25/12/003
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)
Related Items (36)
A generalized isospectral-nonisospectral heat equation hierarchy and its expanding integrable model ⋮ \((2 + 1)\)-dimensional mKdV hierarchy and chirp effect of Rossby solitary waves ⋮ Two \((2+1)\)-dimensional hierarchies of evolution equations and their Hamiltonian structures ⋮ Applications of a few Lie algebras ⋮ (2+1)-DIMENSIONAL TD HIERARCHY AND ITS INTEGRABLE COUPLINGS ⋮ INTEGRABLE COUPLINGS OF THE TC HIERARCHY AND ITS HAMILTONIAN STRUCTURE ⋮ Schemes for generating different nonlinear Schrödinger integrable equations and their some properties ⋮ Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy ⋮ A new application of the \(\bar{\partial} \)-method ⋮ Nonisospectral Lotka–Volterra Systems as a Candidate Model for Food Chain ⋮ A type of loop algebra and the associated loop algebras ⋮ \((2+1)\)-dimensional Dirac hierarchy and its integrable couplings as well as multi-component integrable system ⋮ Two nonisospectral integrable hierarchies and its integrable coupling ⋮ Variational identities and applications to Hamiltonian structures of soliton equations ⋮ A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies ⋮ The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation ⋮ Unnamed Item ⋮ A few integrable couplings of some integrable systems and (\(2 + 1\))-dimensional integrable hierarchies ⋮ Integrable couplings of the Burgers hierarchy and its Hamiltonian structure as well as its solutions ⋮ A Liouville integrable system and its bi-Hamiltonian structure ⋮ CONSTRUCTING INTEGRABLE COUPLINGS FOR THE C-KdV HIERARCHY ⋮ Three kinds of nonisospectral integrable model of Wadati-Konno-Ichikawa soliton hierarchies ⋮ AN ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH COUPLED INTEGRABLE COUPLINGS AND APPLICATIONS TO τ-SYMMETRY ALGEBRAS ⋮ Mixed hierarchy of soliton equations ⋮ Unnamed Item ⋮ A direct method for producing Hamiltonian structure of nonlinear evolution equations ⋮ Some generalized isospectral-nonisospectral integrable hierarchies ⋮ New extended Lie algebra and the generalized integrable Liouville hierarchy ⋮ A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries ⋮ A scheme for generating nonisospectral integrable hierarchies and its related applications ⋮ Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations ⋮ On generating (2+1)-dimensional hierarchies of evolution equations ⋮ THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV–SINE-GORDON EQUATION ⋮ Generating nonisospectral integrable hierarchies via a new scheme ⋮ N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION ⋮ Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle
This page was built for publication: An approach for constructing nonisospectral hierarchies of evolution equations
