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arxiv: 1408.4723 · v2 · pith:64KDEWKOnew · submitted 2014-08-20 · 🧮 math.AP · math.DG· nlin.SI

A fast decaying solution to the modified Novikov--Veselov equation with a one-point singularity

classification 🧮 math.AP math.DGnlin.SI
keywords equationdecayingfastmodifiednovikov--veselovone-pointsingularitysolution
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We present an explicit example of a fast decaying solution to the modified Novikov--Veselov equation with a one-point singularity in the space-time. It is constructed by using the geometrical interpretation of the Moutard transformation of solutions to this equation and the Enneper minimal surface.

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