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Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations
Authors:Nongluk Hongsit  George Rowlands
Affiliation:a Mathematics Department, Mahidol University, Rama 6 Road, Bangkok 10400, Thailand
b Physics Department, Mahidol University, Rama 6 Road, Bangkok 10400, Thailand
c Department of Physics, University of Warwick, Coventry, CV4 7AL, UK
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 (Aup+Bu2p)ux.
Keywords:05.45.Yv   52.35.Sb
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