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The Moutard transform is constructed for the solutions of the Davey-Stewartson II equation. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Using the… Click to show full abstract
The Moutard transform is constructed for the solutions of the Davey-Stewartson II equation. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Using the Moutard transformation and minimal surfaces, examples of solutions are constructed that have smooth, rapidly decreasing initial data and lose their regularity in a finite time.
Keywords:
moutard transformation;
stewartson equation;
transformation davey;
davey stewartson
Journal Title: Mathematical Notes
Year Published: 2021
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!