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Integrable Couplings of Soliton Equations by Perturbations I. A General Theory and Application to the KdV Hierarchy
Wen-Xiu Ma
A theory for constructing integrable couplings of soliton equations is developed by using various perturbations around solutions of perturbed soliton equations being analytic with…
Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems
Wen-Xiu Ma, Si-Ming Zhu
This paper aims to show that there exist non-symmetry constraints which yield integrable Hamiltonian systems through nonlinearization of spectral problems of soliton systems, like…
Binary Nonlinearization of AKNS Spectral Problem under Higher-Order Symmetry Constraints
Yishen Li, Wen-Xiu Ma
Binary nonlinearization of AKNS spectral problem is extended to the cases of higher-order symmetry constraints. The Hamiltonian structures, Lax representations, -matrices and in…
An Approach to Master Symmetries of Lattice Equations
Benno Fuchssteiner, Wen-Xiu Ma
An approach to master symmetries of lattice equations is proposed by the use of discrete zero curvature equation. Its key is to generate non-isospectral flows from the discrete spe…