The Zakharov–Shabat Spectral Problem for Complexification and Perturbation of the Korteweg–de Vries Equation

In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation. In this case, we use the Lie algebra of 4-dimensional quadratic nilpotent mat...

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Bibliographic Details
Main Authors: Tatyana V. Redkina, Arthur R. Zakinyan, Robert G. Zakinyan
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/7/703