Construction of the Solution of the Inverse Spectral Problem for a System Depending Rationally on the Spectral Parameter, Borg–Marchenko-Type Theorem and Sine-Gordon Equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00020-010-1843-2.pdf
Reference50 articles.
1. Ablowitz M.J., Kaup D.J., Newell A.C., Segur H.: The inverse scattering transform—Fourier analysis for nonlinear problems. Stud. Appl. Math. 53, 249–315 (1974)
2. Alpay D., Gohberg I., Kaashoek M.A., Lerer L., Sakhnovich A.L.: Krein systems and canonical systems on a finite interval: accelerants with a jump discontinuity at the origin and continuous potentials. Integr. Equ. Oper. Theory 68(1), 115–150 (2010)
3. Arov, D.Z., Dym, H.: J-contractive matrix valued functions and related topics. In: Encyclopedia of Mathematics and its Applications vol. 116. Cambridge University Press, Cambridge (2008)
4. Beals R., Coifman R.R.: Scattering and inverse scattering for first order systems. Commun. Pure Appl. Math. 37, 39–90 (1984)
5. Beals, R., Deift, P., Zhou, X.: The inverse scattering transform on the line. In: Important Developments in Soliton Theory. Springer Series on Nonlinear Dynamics. Springer, Berlin (1993)
Cited by 5 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. Port-Hamiltonian Systems with Several Space Variables: Dressing, Explicit Solutions and Energy Relations;SSRN Electronic Journal;2022
2. On Accelerants and Their Analogs, and on the Characterization of the Rectangular Weyl Functions for Dirac Systems with Locally Square-Integrable Potentials on a Semi-Axis;Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations;2018
3. Inverse Problems and Nonlinear Evolution Equations;DEGRUYTER STUD MATH;2013-12-31
4. Operator identities corresponding to inverse problems for Dirac systems;Indagationes Mathematicae;2012-12
5. Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation;Journal d'Analyse Mathématique;2012-01
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