Notes on Riemann geometry and integrable systems. Part V
Kur.Myrzakul, R.Myrzakulov
TL;DR
This paper explores aspects of multidimensional soliton geometry within the context of Riemann geometry and integrable systems, contributing to the understanding of complex geometric structures in mathematical physics.
Contribution
It introduces new insights into the geometric structures underlying multidimensional solitons and their relation to integrable systems.
Findings
Identification of geometric properties of multidimensional solitons
Connections between Riemann geometry and integrable systems clarified
Potential applications in mathematical physics discussed
Abstract
Some aspects of multidimensional soliton geometry are considered.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology