Breather wave solutions on the Weierstrass elliptic periodic background for the (2 + 1)-dimensional generalized variable-coefficient KdV equation.
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DOI: 10.1063/5.0192185
Abstract: In this paper, the Nth Darboux transformations for the (2+1)-dimensional generalized variable-coefficient Koretweg-de Vries (gvcKdV) equation are proposed. By using the Lamé function method, the generalized Lamé-type solutions for the linear spectral problem associated with… read more here.
Keywords: equation; generalized variable; wave solutions; weierstrass elliptic ... See more keywords
Generalized Variable Gain ADRC for Nonlinear Systems and Its Application to Delta Parallel Manipulators
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2022.3224746
Abstract: In this paper, a novel generalized variable gain active disturbance rejection control (VGADRC) method is proposed for the $n$ -th order nonlinear system. The generalized VGADRC, including generalized variable gain tracking differentiator (VGTD), generalized variable… read more here.
Keywords: variable gain; generalized variable; gain adrc; delta parallel ... See more keywords
Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term
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DOI: 10.3390/math13101642
Abstract: 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 integrability are… read more here.
Keywords: equation; generalized variable; external force; force term ... See more keywords