Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations

Li Cheng and Wen-Xiu Ma ()
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Li Cheng: Normal School, Jinhua Polytechnic, Jinhua 321007, China
Wen-Xiu Ma: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2023, vol. 11, issue 19, 1-8

Abstract: We present three reduced integrable hierarchies of nonlocal integrable nonlinear Schrödinger-type equations, starting from a given vector integrable hierarchy generated from a matrix Lie algebra of B type. The basic tool is the zero curvature formulation. Three similarity transformations are taken to keep the invariance of the involved zero curvature equations. The key is to formulate a matrix solution to a reduced stationary zero curvature equation such that the zero curvature formulation works for a reduced case.

Keywords: zero curvature equation; matrix eigenvalue problem; similarity transformation; integrable hierarchy; nonlinear Schrödinger equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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