Abstract
The effect of transverse perturbations on the domain walls and Nakata's solitons is studied. The integro-differential equation giving an account of this problem is derived using a multiscale expansion. The line-soliton solutions are shown analytically to be unstable with regard to transverse perturbations. Oblique line-soliton interactions, and eventual localized solutions are studied numerically: wave breaking always occurs. This instability gives rise to the emission of a new type of solitary wave.
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