Article
Ufa Mathematical Journal
Volume 9, Number 4, pp. 108-113
On differential substitutions for evolution systems
Startsev S.Ya.
DOI:10.13108/2017-9-4-108
Download PDF
Article on MathNetAbstact
We obtain necessary and sufficient conditions for a differential substitution to be admitted by a family of evolution systems that depends on an arbitrary function. As an illustration, such family is constructed for a multi-component Cole-Hopf substitution and we demonstrate that this family contains all linear systems the right-hands sides of which do not depend on the derivatives of order less than one. As a result, a family of C-integrable systems of arbitrary high order is obtained.