Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term

Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term

This paper investigates integrable properties of a generalized variable-coefficient Korteweg–de Vries (gvcKdV) equation incorporating dissipation, inhomogeneous media, and an external-force term. Based on Painlevé analysis, sufficient and necessary conditions for the equation’s Painlevé integrabilit...

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Bibliographic Details
Main Authors:	Gongxun Li, Zhiyan Wang, Ke Wang, Nianqin Jiang, Guangmei Wei
Format:	Article
Language:	English
Published:	MDPI AG 2025-05-01
Series:	Mathematics
Subjects:	generalized variable-coefficient KdV equation Painlevé analysis lax pair auto-Bäcklund transformation conservation law
Online Access:	https://www.mdpi.com/2227-7390/13/10/1642
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