Solvable structures for evolution PDEs admitting differential constraints

TL;DR

This paper introduces a method using solvable structures to find explicit solutions to evolution PDEs with differential constraints, demonstrating its effectiveness through multiple examples.

Contribution

It presents a novel approach leveraging solvable structures to solve evolution PDEs with differential constraints, expanding solution techniques.

Findings

Successfully finds explicit solutions for several evolution PDEs.

Verifies the effectiveness of the method on multiple examples.

Provides a new tool for solving PDEs with 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.