Integration of differential equations by $\mathcal{C}^{\infty}$-structures
Exactly Solvable and Integrable Systems
2023-10-25 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
Several integrability problems of differential equations are addressed by using the concept of -structure, a recent generalization of the notion of solvable structure. Specifically, the integration procedure associated with -structures is used to integrate to a Lotka-Volterra model and several differential equations that lack sufficient Lie point symmetries and cannot be solved using conventional methods.
Keywords
Cite
@article{arxiv.2308.14586,
title = {Integration of differential equations by $\mathcal{C}^{\infty}$-structures},
author = {A. J. Pan-Collantes and C. Muriel and A. Ruiz},
journal= {arXiv preprint arXiv:2308.14586},
year = {2023}
}