Solvable structures for evolution PDEs admitting differential constraints

Abstract

Solvable structures are exploited in order to find families of explicit solutions to evolution PDEs admitting suitable differential constraints. The effectiveness of the method is verified on several explicit examples.

References in corpus (1)

• Local and nonlocal solvable structures in ODEs reduction

Cited by in corpus (2)

• ${\mathcal{C}}^{\infty }$-symmetries of distributions and integrability
• The geometry of differential constraints for a class of evolution PDEs