The geometry of differential constraints for a class of evolution PDEs
Mathematical Physics
2020-08-04 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
The problem of computing differential constraints for a family of evolution PDEs is discussed from a constructive point of view. A new method, based on the existence of generalized characteristics for evolution vector fields, is proposed in order to obtain explicit differential constraints for PDEs belonging to this family. Several examples, with applications in non-linear stochastic filtering theory, stochastic perturbation of soliton equations and non-isospectral integrable systems, are discussed in detail to verify the effectiveness of the method.
Keywords
Cite
@article{arxiv.1607.08014,
title = {The geometry of differential constraints for a class of evolution PDEs},
author = {Francesco C. De Vecchi and Paola Morando},
journal= {arXiv preprint arXiv:1607.08014},
year = {2020}
}
Comments
Revised abstract and introduction