Local well-posedness for the Zakharov system on the background of a line soliton

Hung Luong

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arXiv · 1605.03912

Local well-posedness for the Zakharov system on the background of a line soliton

Hung Luong

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Abstract

We prove that the Cauchy problem for the two-dimensional Zakharov system is locally well-posed for initial data which are localized perturbations of a line solitary wave. Furthermore, for this Zakharov system, we prove weak convergence to a nonlinear Schrödinger equation.

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Hung Luong. 2018-03-21. Local well-posedness for the Zakharov system on the background of a line soliton. https://arxiv.org/abs/1605.03912

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