Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations

Nongluk Hongsit; Michael A. Allen; George Rowlands

doi:10.1016/j.physleta.2007.12.005

Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations

Nongluk Hongsit
, Michael A. Allen
, George Rowlands

Department of Physics

Mahidol University
University of Warwick

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

26 Citations (Scopus)

Abstract

Using the small-k expansion method, we obtain a closed-form expression for the growth rate of long-wavelength transverse instabilities of solitary pulse solutions to a modified Zakharov-Kuznetsov equation with a nonlinearity of the form (A u^p + B u^{2 p}) u_x.

Original language	English
Pages (from-to)	2420-2422
Number of pages	3
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	14
DOIs	https://doi.org/10.1016/j.physleta.2007.12.005
Publication status	Published - 31 Mar 2008

Keywords

Generalized Zakharov-Kuznetsov equation
Solitons
Transverse stability

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10.1016/j.physleta.2007.12.005

Cite this

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title = "Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations",

abstract = "Using the small-k expansion method, we obtain a closed-form expression for the growth rate of long-wavelength transverse instabilities of solitary pulse solutions to a modified Zakharov-Kuznetsov equation with a nonlinearity of the form (A up + B u2 p) ux.",

keywords = "Generalized Zakharov-Kuznetsov equation, Solitons, Transverse stability",

author = "Nongluk Hongsit and Allen, \{Michael A.\} and George Rowlands",

year = "2008",

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doi = "10.1016/j.physleta.2007.12.005",

language = "English",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations

AU - Hongsit, Nongluk

AU - Allen, Michael A.

AU - Rowlands, George

PY - 2008/3/31

Y1 - 2008/3/31

N2 - Using the small-k expansion method, we obtain a closed-form expression for the growth rate of long-wavelength transverse instabilities of solitary pulse solutions to a modified Zakharov-Kuznetsov equation with a nonlinearity of the form (A up + B u2 p) ux.

AB - Using the small-k expansion method, we obtain a closed-form expression for the growth rate of long-wavelength transverse instabilities of solitary pulse solutions to a modified Zakharov-Kuznetsov equation with a nonlinearity of the form (A up + B u2 p) ux.

KW - Generalized Zakharov-Kuznetsov equation

KW - Solitons

KW - Transverse stability

UR - https://www.scopus.com/pages/publications/40249104986

U2 - 10.1016/j.physleta.2007.12.005

DO - 10.1016/j.physleta.2007.12.005

M3 - Article

AN - SCOPUS:40249104986

SN - 0375-9601

VL - 372

SP - 2420

EP - 2422

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

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

IS - 14

ER -

Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations

Abstract

Keywords

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