The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning

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The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning. / Taimanov, I. A.

In: Mathematical Notes, Vol. 110, No. 5-6, 11.2021, p. 754-766.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{09ab8fa32bf046f3920a8d9e0091dd62,

title = "The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning",

abstract = "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, Moutard transformation, surfaces in four-dimensional space",

author = "Taimanov, {I. A.}",

note = "Funding Information: This work was supported by the Russian Science Foundation under grant 19-11-00044. Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = nov,

doi = "10.1134/S0001434621110122",

language = "English",

volume = "110",

pages = "754--766",

journal = "Mathematical Notes",

issn = "0001-4346",

publisher = "PLEIADES PUBLISHING INC",

number = "5-6",

}

RIS

TY - JOUR

T1 - The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning

AU - Taimanov, I. A.

PY - 2021/11

Y1 - 2021/11

N2 - 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.

AB - 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.

KW - Davey–Stewartson equation

KW - Moutard transformation

KW - surfaces in four-dimensional space

UR - http://www.scopus.com/inward/record.url?scp=85121367614&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/61dbd5fb-a8f0-3959-aee6-7c452ad4adf8/

U2 - 10.1134/S0001434621110122

DO - 10.1134/S0001434621110122

M3 - Article

AN - SCOPUS:85121367614

VL - 110

SP - 754

EP - 766

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 5-6

ER -

ID: 35033559