Solutions to the Davey–Stewartson equations (DS) in terms of the determinants of order 2N depending on 4N real parameters are constructed. The Darboux transformation is used to construct solutions of… Click to show full abstract
Solutions to the Davey–Stewartson equations (DS) in terms of the determinants of order 2N depending on 4N real parameters are constructed. The Darboux transformation is used to construct solutions of order N to this equation. We obtain a representation of the solutions to the equations (DS) in terms of two Wronskians. We obtain what we call a double Wronskian representation of the solutions to the (DS) equations. With this method, some particular explicit solutions for the first orders are constructed.
Keywords:
representation;
davey stewartson;
stewartson equations;
order;
solutions davey;
double wronskian
Journal Title: Axioms
Year Published: 2025
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Axioms
Year Published: 2025
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!