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

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.

arXiv admin note: text overlap with arXiv:1706.00064 by other authors