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

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.

References in corpus (2)

• Noether theorem for mu-symmetries
• Reduction of systems of first-order differential equations via Lambda-symmetries