Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations |
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Authors: | Nongluk Hongsit George Rowlands |
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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 |
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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. |
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Keywords: | 05.45.Yv 52.35.Sb |
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