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

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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Главные авторы:	Redkina, T. V., Редькина, Т. В., Zakinyan, A. R., Закинян, А. Р., Zakinyan, R. G., Закинян, Р. Г.
格式:	Статья
语言:	English
出版:	2023
主题:	Complexification of the Korteweg–de Vries equation Zero-curvature equation Perturbations of the Korteweg–de Vries equation Conservation laws
在线阅读:	https://dspace.ncfu.ru/handle/20.500.12258/25453
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