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arXiv · 2308.14586

Integration of differential equations by $\mathcal{C}^{\infty}$-structures

A. J. Pan-Collantes·C. Muriel·A. Ruiz
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Abstract

Several integrability problems of differential equations are addressed by using the concept of $\mathcal{C}^{\infty}$-structure, a recent generalization of the notion of solvable structure. Specifically, the integration procedure associated with $\mathcal{C}^{\infty}$-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.

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A. J. Pan-Collantes, C. Muriel, A. Ruiz. 2023-08-28. Integration of differential equations by $\mathcal{C}^{\infty}$-structures. https://doi.org/10.3390/math11183897

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