Hierarchies of the Korteweg–de Vries Equation Related to Complex Expansion and Perturbation

We consider the possibility of constructing a hierarchy of the complex extension of the Korteweg–de Vries equation (cKdV), which under the assumption that the function is real passes into the KdV hierarchy. A hierarchy is understood here as a family of nonlinear partial differential equations with a...

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Bibliographic Details
Main Authors: Tatyana V. Redkina, Arthur R. Zakinyan, Robert G. Zakinyan, Olesya B. Surneva
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/4/371