Applications over Complex Lagrangians
Mehmet Tekkoyun, Erdal Ozusaglam, Ali Gorgulu
TL;DR
This paper develops a geometric framework for classical mechanics using complex Lagrangian formalisms on Kaehlerian manifolds and demonstrates their application to mechanical systems.
Contribution
It introduces a complex geometric approach to classical mechanics and applies complex Euler-Lagrange equations to specific mechanical systems.
Findings
Complex Lagrangian formalism on Kaehlerian manifolds derived.
Applications of complex Euler-Lagrange equations demonstrated.
Provides new geometric tools for analyzing mechanical systems.
Abstract
In this paper, Lagrangian formalisms of Classical Mechanics was deduced on Kaehlerian manifold being geometric model of a generalized Lagrange space.Then, it was given two applications of complex Euler-Lagrange equations on mechanics system.
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Taxonomy
TopicsNonlinear Waves and Solitons · Elasticity and Wave Propagation · Numerical methods for differential equations