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Hai-Bing Zhang

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Preprint Oct 2026

The focusing coupled nonlinear Schr\"odinger equation with parallel nonzero boundary conditions: long--time asmptotics

We study the long-time behavior of solutions of the focusing coupled nonlinear Schr\"odinger equations with parallel constant nonzero boundary conditions in the solitonless setting. We distinguish three types of asymptotic regions: plane-wave regions, modulated elliptic-wave regions, and Painlev\'e-II transition region...

Hai-Bing Zhang, Xian-Guo Geng, Bo Xue et al. · 0 citations

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