Geodesic
Blowing up solutions of the~modified Novikov--Veselov equation and
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 2, pp. 213-222

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We propose a construction of blowup solutions of the modified Novikov–Veselov equation based on the Moutard transformation of the two-dimensional Dirac operators and on its geometric interpretation in terms of surface geometry. We consider an explicit example of such a solution constructed using the minimal Enneper surface.
Keywords: blowup solution, modified Novikov–Veselov equation, two-dimensional Dirac operator, Weierstrass representation of surfaces, minimal surface.
Mots-clés : Moutard transformation 
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     author = {I. A. Taimanov},
     title = {Blowing up solutions of the~modified {Novikov--Veselov} equation and},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {213--222},
     publisher = {mathdoc},
     volume = {182},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_182_2_a1/}
}
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I. A. Taimanov. Blowing up solutions of the~modified Novikov--Veselov equation and. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 2, pp. 213-222. http://geodesic.mathdoc.fr/item/TMF_2015_182_2_a1/