Geodesic
The Moutard Transformation for the Davey--Stewartson~II Equation and Its Geometrical Meaning
Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 751-765

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The Moutard transformation for the solutions of the Davey–Stewartson II equation is constructed. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Examples of solutions that have smooth fast decaying initial data and lose regularity in finite time are constructed by using the Moutard transformation and minimal surfaces.
Keywords: Davey–Stewartson equation, surfaces in four-dimensional space.
Mots-clés : Moutard transformation 
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     author = {I. A. Taimanov},
     title = {The {Moutard} {Transformation} for the {Davey--Stewartson~II} {Equation} and {Its} {Geometrical} {Meaning}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {751--765},
     publisher = {mathdoc},
     volume = {110},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_5_a9/}
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I. A. Taimanov. The Moutard Transformation for the Davey--Stewartson~II Equation and Its Geometrical Meaning. Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 751-765. http://geodesic.mathdoc.fr/item/MZM_2021_110_5_a9/