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Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations
Version 1
: Received: 14 August 2023 / Approved: 14 August 2023 / Online: 15 August 2023 (03:38:06 CEST)
A peer-reviewed article of this Preprint also exists.
Cheng, L.; Ma, W.-X. Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations. Mathematics 2023, 11, 4110. Cheng, L.; Ma, W.-X. Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations. Mathematics 2023, 11, 4110.
Abstract
We present three reduced integrable hierarchies of nonlocal integrable NLS type equations from a vector integrable hierarchy associated with a matrix Lie algebra, not being A type. Three similarity transformations are taken to keep the invariance of the transformed zero curvature equations. The key step is to formulate a solution to a reduced stationary zero curvature equation so that the zero curvature formulation works for a reduced case.
Keywords
integrable equations; Lax pairs; symmetry; Hamiltonian structure; zero curvature equations
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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