An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

DOI10.1016/0375-9601(94)90616-5zbMath0941.37530OpenAlexW2032191714MaRDI QIDQ5917972

Wen-Xiu Ma, Walter Strampp

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90616-5

Mathematics Subject Classification ID

Related Items (20)

Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions ⋮ Lax representations and zero-curvature representations by the Kronecker product ⋮ The conservation laws and self-consistent sources for a super-Yang hierarchy ⋮ The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems ⋮ The commutative property of reciprocal transformations and dimensional deformations ⋮ Binary nonlinearization of the nonlinear Schrödinger equation under an implicit symmetry constraint ⋮ Conservation laws by symmetries and adjoint symmetries ⋮ Algebro-geometric solutions of the sine-Gordon hierarchy ⋮ New Neumann system associated with a \(3 \times 3\) matrix spectral problem ⋮ A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy ⋮ Hamiltonian structures and conservation laws of the Belov-Chaltikian lattice hierarchy ⋮ A new \(4\times 4\) AKNS spectral problem and its associated integrable decomposition of the AKNS equation ⋮ A new integrable hierarchy, parametric solutions and traveling wave solutions ⋮ A family of integrable differential-difference equations and its Bargmann symmetry constraint ⋮ Diversity of interaction solutions of a shallow water wave equation ⋮ A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws ⋮ An implicit symmetry constraint of the modified Korteweg-de Vries (mKdV) equation ⋮ Finite‐Dimensional Integrable Hamiltonian Systems Related to the Nonlinear Schrödinger Equation ⋮ Lax pair, improved \(\varGamma\)-Riccati Bäcklund transformation and soliton-like solutions to variable-coefficient higher-order nonlinear Schrödinger equation in optical fibers ⋮ An extended noncommutative KP hierarchy

Cites Work

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• Constrained KP hierarchy and bi-Hamiltonian structures
• Symmetry constraints of the KP hierarchy
• Restricted flows of the AKNS hierarchy
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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