Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line

By Anne Boutet de Monvel, Alexander Its, V. Kotlyarov. 2009

117 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5044c234e5a911cc46e821c3a14ea96253735ce0

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In Mathematical Physics

1. Jonatan Lenells
2. A. S. Fokas
3. B. Guo
4. Nan Liu
5. Shou‐Fu Tian
6. Yue Liu

In Statistical and Nonlinear Physics

1. Jonatan Lenells
2. A. S. Fokas
3. B. Guo
4. Nan Liu
5. Shou‐Fu Tian
6. Wenxiu Ma
7. Dmitry Shepelsky
8. Justin Holmer

Citations in the corpus

• Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method (2018, background): “ yufeng 0617@126.com (Y. Wang). 1 arXiv:1801.06420v3 [math.AP] 21 Jul 2018 [7], nondecaying step-like initial data [4,21,36] and the initial-boundary value problems with t-periodic boundary condition [3,29] for various integrable equations. Recently, Lenells et al. also has been derived some interes”
• The unified method: I. Nonlinearizable problems on the half-line (2011, methodology): “ime asymptotics, without the full THE UNIFIED METHOD I 3 characterization of A(k) and B(k) (in spite of this diculty important results about the large t-asymptotics of such problems are presented in [10, 11, 12]). In this paper, we revisit the implementation of the unied method to integrable evoluti”