Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation
Author:
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference22 articles.
1. Solitons and the Inverse Scattering Transform;Ablowitz,1981
2. NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms;Chirilus-Bruckner;Math. Nachr.,2015
3. Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity;Chong;ZAMM Z. Angew. Math. Mech.,2013
4. Validity of the Korteweg–de Vries approximation for the two-dimensional water wave problem in the arc length formulation;Düll;Comm. Pure Appl. Math.,2012
5. Justification of the nonlinear Schrödinger approximation for a quasilinear Klein–Gordon equation;Düll;Comm. Math. Phys.,2017
Cited by 11 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. The validity of the derivative NLS approximation for systems with cubic nonlinearities;Journal of Differential Equations;2024-11
2. NLS approximation of the Euler-Poisson system for a cold ion-acoustic plasma;Journal of Differential Equations;2024-01
3. Rigorous Envelope Approximation for Interface Wave Packets in Maxwell’s Equations with Two Dimensional Localization;SIAM Journal on Mathematical Analysis;2023-11-06
4. A robust way to justify the derivative NLS approximation;Zeitschrift für angewandte Mathematik und Physik;2023-10-14
5. Nonlinear Schrödinger Approximation for the Electron Euler-Poisson Equation;Chinese Annals of Mathematics, Series B;2023-05
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