DOI 10.1088/0305-4470/25/20/014 zbMath 0782.35072 OpenAlex W2074215935 MaRDI QID Q4033648
Wen-Xiu Ma
Publication date : 16 May 1993
Published in : Journal of Physics A: Mathematical and General (Search for Journal in Brave )
Full work available at URL : https://doi.org/10.1088/0305-4470/25/20/014
Integrable counterparts of the D-Kaup-Newell soliton hierarchy ⋮
The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation ⋮
A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure ⋮
An integrable extension of a soliton hierarchy associated with so(3,ℝ) and its bi-Hamiltonian formulation ⋮
Symmetries and their Lie algebra of a variable coefficient Korteweg-de Vries hierarchy ⋮
Soliton Hierarchies from Matrix Loop Algebras ⋮
Wronskian and lump wave solutions to an extended second KP equation ⋮
Generalized structure of Lax representations for nonlinear evolution equation ⋮
Long-time asymptotics of a three-component coupled nonlinear Schrödinger system ⋮
The commutative property of reciprocal transformations and dimensional deformations ⋮
Integrable nonlocal nonlinear Schrödinger hierarchies of type \((-\lambda*,\lambda)\) and soliton solutions ⋮
Conservation laws by symmetries and adjoint symmetries ⋮
An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy ⋮
A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies ⋮
Soliton solutions to constrained nonlocal integrable nonlinear Schrödinger hierarchies of type (−λ,λ) ⋮
A completely integrable system and parametric representation of solutions of the Wadati–Konno–Ichikawa hierarchy ⋮
AN ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH COUPLED INTEGRABLE COUPLINGS AND APPLICATIONS TO τ-SYMMETRY ALGEBRAS ⋮
New matrix Lie algebra and its application ⋮
Two integrable Hamiltonian hierarchies in sl(2,R) and so(3,R) with three potentials ⋮
An integrable \(\text{SO}(3,\mathbb{R})\)-counterpart of the Heisenberg soliton hierarchy ⋮
Additional symmetries of constrained CKP and BKP hierarchies ⋮
INTEGRABLE PROPERTIES AND SIMILARITY REDUCTIONS OF THE SINE-LAPLACE EQUATION FROM AN INVISCID INCOMPRESSIBLE FLUID WITH SYMBOLIC COMPUTATION ⋮
THE ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH INTEGRABLE COUPLINGS ⋮
A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries ⋮
An integrable counterpart of the D-AKNS soliton hierarchy from \(\mathrm{so}(3,\mathbb R)\) ⋮
Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations ⋮
THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV–SINE-GORDON EQUATION ⋮
MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮
Zero curvature representation, bi-Hamiltonian structure, and an integrable hierarchy for the Zakharov-Ito system ⋮
Integrable theory of the perturbation equations.
This page was built for publication: The algebraic structures of isospectral Lax operators and applications to integrable equations