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arXiv · 2208.07896

Normal form for transverse instability of gZK equation for the line soliton with nearly critical speed

Yakine Bahri·Hichem Hajaiej
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Abstract

In this paper, we study the transverse instability of generalized Zakharov-Kuznetsov equation for the line soliton with critical speed. We derive and justify a normal form reduction for a bifurcation problem of the stationary nonlinear KdV equation on the product space R ? T.

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Yakine Bahri, Hichem Hajaiej. 2022-08-16. Normal form for transverse instability of gZK equation for the line soliton with nearly critical speed. https://arxiv.org/abs/2208.07896

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