The painleve property for the 3 - dimensional model

O. Surneva

doi:10.12737/5135

THE PAINLEVE PROPERTY FOR THE 3 - DIMENSIONAL MODEL The painleve property for the 3 - dimensional model

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Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 2 · Pages 144–147 · Rubric: Section: Differential and Integral Equations

DOI: https://doi.org/10.12737/5135

Received: 29.08.2014 Accepted: 06.10.2014 Published: 06.10.2014 Language of publication: RUS

Authors

O. Surneva

ABSTRACT

Investigated the three-dimensional nonlinear equation in partial derivatives with a couple Lax, with differential operators, the coefficients which are of the view matrix 22. This equation is tested by the Painleve property. Found the solution in the form of Laurent series.

KEYWORDS

nonlinear equation in partial derivatives, a couple Lax, Painleve property

Text

Предметом исследования является наличие свойства Пенлеве у дифференциального уравнения с частными производными .

1. Cosgrove C.M. Painleve classification of all similinear partial differential equations of the second order. - Stud. Appl. Math. 1993. V. 89. P. 1-61.

2. Weiss J., Tabor M., Carnevale G. The Painleve property for partial differential equations. - J. Math. Phys. 1983. V. 24. № 3. P. 522 - 526.

3. Surneva O.B. 2+1 -mernoe differentsial´noe uravnenie v chastnykh proizvodnykh obladayushchee paroy Laksa//Materiály VIII mezinárodní vědecko - praktická konference «Zprávy vědecké ideje - 2012». - Díl 21. Matematika. Fyzika. Moderní informační technologie. Výstavba a architektura: Praha. 2012. S. 3-5.

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GOST

Surneva O. The painleve property for the 3 - dimensional model // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 4. pp. 144-147. DOI: https://doi.org/10.12737/5135. (Date of access 18.10.2026).

MLA

O. Surneva. "The painleve property for the 3 - dimensional model." Actual directions of scientific researches of the XXI century: theory and practice 2.4 (2014): 144-147. DOI: https://doi.org/10.12737/5135.

APA

Surneva O. (2014). The painleve property for the 3 - dimensional model. Actual directions of scientific researches of the XXI century: theory and practice, 2(4), 144-147. https://doi.org/10.12737/5135

Chicago

O. Surneva. "The painleve property for the 3 - dimensional model." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 4 (2014): 144-147. https://doi.org/10.12737/5135.

WIKI

{{cite journal | author = Surneva O. | title = The painleve property for the 3 - dimensional model | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 4 | pages = 144-147 | doi = 10.12737/5135 }}

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THE PAINLEVE PROPERTY FOR THE 3 - DIMENSIONAL MODEL The painleve property for the 3 - dimensional model

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