Publication

Gardner's deformations of the graded Korteweg-de Vries equations revisited

Kiselev, A. V. & Krutov, A. O., Oct-2012, In : Journal of Mathematical Physics. 53, 10, 18 p., 103511.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Kiselev, A. V., & Krutov, A. O. (2012). Gardner's deformations of the graded Korteweg-de Vries equations revisited. Journal of Mathematical Physics, 53(10), [103511]. https://doi.org/10.1063/1.4754288

Author

Kiselev, A. V. ; Krutov, A. O. / Gardner's deformations of the graded Korteweg-de Vries equations revisited. In: Journal of Mathematical Physics. 2012 ; Vol. 53, No. 10.

Harvard

Kiselev, AV & Krutov, AO 2012, 'Gardner's deformations of the graded Korteweg-de Vries equations revisited', Journal of Mathematical Physics, vol. 53, no. 10, 103511. https://doi.org/10.1063/1.4754288

Standard

Gardner's deformations of the graded Korteweg-de Vries equations revisited. / Kiselev, A. V.; Krutov, A. O.

In: Journal of Mathematical Physics, Vol. 53, No. 10, 103511, 10.2012.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Kiselev AV, Krutov AO. Gardner's deformations of the graded Korteweg-de Vries equations revisited. Journal of Mathematical Physics. 2012 Oct;53(10). 103511. https://doi.org/10.1063/1.4754288


BibTeX

@article{a863718d4ad9486a95daba48b8f6c020,
title = "Gardner's deformations of the graded Korteweg-de Vries equations revisited",
abstract = "We solve the Gardner deformation problem for the N = 2 supersymmetric a = 4 Korteweg-de Vries equation [P. Mathieu, {"}Supersymmetric extension of the Korteweg-de Vries equation,{"} J. Math. Phys. 29(11), 2499-2506 (1988)]. We show that a known zero-curvature representation for this super-equation yields the system of new nonlocal variables such that their derivatives contain the Gardner deformation for the classical KdV equation. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4754288]",
keywords = "DEVRIES EQUATION",
author = "Kiselev, {A. V.} and Krutov, {A. O.}",
year = "2012",
month = "10",
doi = "10.1063/1.4754288",
language = "English",
volume = "53",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "AMER INST PHYSICS",
number = "10",

}

RIS

TY - JOUR

T1 - Gardner's deformations of the graded Korteweg-de Vries equations revisited

AU - Kiselev, A. V.

AU - Krutov, A. O.

PY - 2012/10

Y1 - 2012/10

N2 - We solve the Gardner deformation problem for the N = 2 supersymmetric a = 4 Korteweg-de Vries equation [P. Mathieu, "Supersymmetric extension of the Korteweg-de Vries equation," J. Math. Phys. 29(11), 2499-2506 (1988)]. We show that a known zero-curvature representation for this super-equation yields the system of new nonlocal variables such that their derivatives contain the Gardner deformation for the classical KdV equation. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4754288]

AB - We solve the Gardner deformation problem for the N = 2 supersymmetric a = 4 Korteweg-de Vries equation [P. Mathieu, "Supersymmetric extension of the Korteweg-de Vries equation," J. Math. Phys. 29(11), 2499-2506 (1988)]. We show that a known zero-curvature representation for this super-equation yields the system of new nonlocal variables such that their derivatives contain the Gardner deformation for the classical KdV equation. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4754288]

KW - DEVRIES EQUATION

U2 - 10.1063/1.4754288

DO - 10.1063/1.4754288

M3 - Article

VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

M1 - 103511

ER -

ID: 5731107