Cheng, L.; Ma, W.-X. Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations. Mathematics2023, 11, 4110.
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. Mathematics2023, 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.
