The Focusing NLS Equation with Step-Like Oscillating Background: Scenarios of Long-Time Asymptotics
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s00220-021-03946-x.pdf
Reference30 articles.
1. Bikbaev, R.F.: Complex Whitham deformations in problems with "integrable instability". Teoret. Mat. Fiz. 104(3):393-419 (1995) (Russian)
2. English transl., Theoret. and Math. Phys. (1995) 104(3):1078-1097 (1996)
3. Bilman, D., Miller, P.D.: A robust inverse scattering transform for the focusing nonlinear Schrödinger equation. Commun. Pure Appl. Math. 72(8), 1722–1805 (2019)
4. Biondini, G.: Riemann problems and dispersive shocks in self-focusing media. Phys. Rev. E 98(5), 052220, 7 (2018)
5. Biondini, G., Kovacic, G.: Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions, J. Math. Phys. 55(3), 031506, 22 (2014)
Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum;Studies in Applied Mathematics;2024-07-10
2. Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions;Journal of Differential Equations;2024-03
3. Boussinesq's equation for water waves: Asymptotics in Sector I;Advances in Nonlinear Analysis;2024-01-01
4. Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions;Studies in Applied Mathematics;2023-11-16
5. On the Cauchy problem of defocusing mKdV equation with finite density initial data: Long time asymptotics in soliton-less regions;Journal of Differential Equations;2023-11
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3