Multidimensional Toda type systems
A. V. Razumov, M. V. Saveliev
TL;DR
This paper introduces a broad class of multidimensional nonlinear systems derived from Lie algebraic and differential geometry methods, along with an integration scheme for solving these complex equations.
Contribution
It presents a novel framework for deriving and solving multidimensional Toda type systems using advanced mathematical techniques.
Findings
Derived a wide class of multidimensional nonlinear systems.
Proposed an integration scheme for these equations.
Established connections with Lie algebraic and differential geometry methods.
Abstract
On the base of Lie algebraic and differential geometry methods, a wide class of multidimensional nonlinear systems is obtained, and the integration scheme for such equations is proposed.
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