Notes on Riemann geometry and integrable systems. Part IV
Kur. Myrzakul, R.Myrzakulov
TL;DR
This paper explores the relationship between multidimensional soliton equations and three-dimensional Riemann space, highlighting geometric aspects of integrable systems.
Contribution
It provides new insights into the geometric interpretation of multidimensional soliton equations within Riemannian geometry.
Findings
Establishes a link between soliton equations and Riemann geometry
Offers a geometric framework for understanding integrable systems
Advances theoretical understanding of multidimensional solitons
Abstract
The connection between multidimensional soliton equations and three-dimensional Riemann space is discussed.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Waves and Solitons · Nonlinear Partial Differential Equations