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Stability criterion for solitons of the Zakharov–Kuznetsov-type equations. / Kuznetsov, E. A.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 382, No. 31, 10.08.2018, p. 2049-2051.

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

Harvard

Kuznetsov, EA 2018, 'Stability criterion for solitons of the Zakharov–Kuznetsov-type equations', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 382, no. 31, pp. 2049-2051. https://doi.org/10.1016/j.physleta.2018.05.026

APA

Kuznetsov, E. A. (2018). Stability criterion for solitons of the Zakharov–Kuznetsov-type equations. Physics Letters, Section A: General, Atomic and Solid State Physics, 382(31), 2049-2051. https://doi.org/10.1016/j.physleta.2018.05.026

Vancouver

Kuznetsov EA. Stability criterion for solitons of the Zakharov–Kuznetsov-type equations. Physics Letters, Section A: General, Atomic and Solid State Physics. 2018 Aug 10;382(31):2049-2051. doi: 10.1016/j.physleta.2018.05.026

Author

Kuznetsov, E. A. / Stability criterion for solitons of the Zakharov–Kuznetsov-type equations. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2018 ; Vol. 382, No. 31. pp. 2049-2051.

BibTeX

@article{6609b512173f4b1eb73ba1be81290001,
title = "Stability criterion for solitons of the Zakharov–Kuznetsov-type equations",
abstract = "Early results concerning the linear stability of the solitons in equation of the KDV-type [1] are generalized to solitons describing by the Zakharov–Kuznetsov-type equation. The linear stability criterion for ground solitons in the Vakhitov–Kolokolov form is derived for such equations with arbitrary nonlinearity. For the power nonlinearity the instability criterion coincides with the condition of the Hamiltonian unboundedness from below. The latter represents the main feature for appearance of collapse in such systems.",
keywords = "Linear and Lyapunov stability, Soliton, Vakhitov–Kolokolov criterion, WAVES, COLLAPSE, Vakhitov-Kolokolov criterion",
author = "Kuznetsov, {E. A.}",
year = "2018",
month = aug,
day = "10",
doi = "10.1016/j.physleta.2018.05.026",
language = "English",
volume = "382",
pages = "2049--2051",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "31",

}

RIS

TY - JOUR

T1 - Stability criterion for solitons of the Zakharov–Kuznetsov-type equations

AU - Kuznetsov, E. A.

PY - 2018/8/10

Y1 - 2018/8/10

N2 - Early results concerning the linear stability of the solitons in equation of the KDV-type [1] are generalized to solitons describing by the Zakharov–Kuznetsov-type equation. The linear stability criterion for ground solitons in the Vakhitov–Kolokolov form is derived for such equations with arbitrary nonlinearity. For the power nonlinearity the instability criterion coincides with the condition of the Hamiltonian unboundedness from below. The latter represents the main feature for appearance of collapse in such systems.

AB - Early results concerning the linear stability of the solitons in equation of the KDV-type [1] are generalized to solitons describing by the Zakharov–Kuznetsov-type equation. The linear stability criterion for ground solitons in the Vakhitov–Kolokolov form is derived for such equations with arbitrary nonlinearity. For the power nonlinearity the instability criterion coincides with the condition of the Hamiltonian unboundedness from below. The latter represents the main feature for appearance of collapse in such systems.

KW - Linear and Lyapunov stability

KW - Soliton

KW - Vakhitov–Kolokolov criterion

KW - WAVES

KW - COLLAPSE

KW - Vakhitov-Kolokolov criterion

UR - http://www.scopus.com/inward/record.url?scp=85047248742&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2018.05.026

DO - 10.1016/j.physleta.2018.05.026

M3 - Article

AN - SCOPUS:85047248742

VL - 382

SP - 2049

EP - 2051

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 31

ER -

ID: 13488679