Multiply conjugate systems containing deformations of quadrics
Ion I. Dinca
TL;DR
This paper generalizes Bianchi's triply conjugate systems with deformations of 2D quadrics and their Bäcklund transformations to higher-dimensional cases, expanding the theoretical framework of conjugate systems.
Contribution
It introduces a higher-dimensional extension of conjugate systems containing deformations of quadrics and their Bäcklund transformations, broadening the scope of classical differential geometry.
Findings
Extended conjugate systems to higher dimensions.
Established Bäcklund transformations in the generalized setting.
Provided a theoretical framework for deformations of quadrics.
Abstract
We provide a generalization of Bianchi's triply conjugate systems containing a family of deformations of 2-dimensional quadrics together with its B\"{a}cklund transformation to higher dimensions.
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Taxonomy
TopicsNonlinear Waves and Solitons · Biological Activity of Diterpenoids and Biflavonoids · Advanced Differential Equations and Dynamical Systems