Conference on Nonlinear Waves, Integrable Systems and their Applications

非线性波、可积系统及其应用会议

• 批准号: 0513727
• 负责人: Sarbarish Chakravarty
• 金额: --
• 依托单位: University of Colorado at Colorado Springs
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-06-01 至 2007-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0513727&HistoricalAwards=false
• 关键词: Conference; Nonlinear; Waves; Integrable; Systems

Abstract DMS-0513727PI: Chakravarty, University of Colorado-Colorado SpringsTitle: Conference on Nonlinear Waves, Integrable Systems and Their ApplicationsThe proposed conference will bring together a diverse group of world's leading experts under the complementary topics of nonlinear waves, integrable systems and their applications. The conference participants will be comprised of experts in both theory and applications. There will be a substantial emphasis on problems of optical communications, Bose-Einstein condensates, and ultra-short pulse lasers. Mathematical topics include inverse scattering and other theoretical aspects of integrable nonlinear evolution equations. The topics slated for discussion are in the forefront of research in nonlinear science, and have witnessed enormous progress at a phenomenal pace in recent times. In particular, the past few years has seen new applications of soliton theory to lightwave communication and rare event simulation of lightwave systems, and rapid experimental progress in the fields of Bose-Einstein condensation and ultra-short pulse lasers; all of these application fields are strongly corelated with the theory of nonlinear waves and integrable systems. Consequently, a comprehensive conference covering these topics is planned. The conference speakers will report the latest theoretical and experimental results in the areas mentioned above. Participants, especially younger scientists, will benefit from becoming aware of the latest results in their respective fields, and will also be able to discuss with leading international experts. Because of the inter-disciplinary nature of the conference, experts will become aware of the latest work in fields related to but different from their own. Thus, the conference will provide a forum for cross-fertilization of ideas amongst various disciplines. In addition, the inclusion of students and scientists at the beginnings of their careers in the conference will promote the transfer of this expertise to the next generation of mathematicians and applied scientists.

摘要 DMS-0513727PI：Chakravarty，科罗拉多大学科罗拉多斯普林斯分校标题：非线性波、可积系统及其应用会议拟议的会议将汇集非线性波、可积系统及其应用等互补主题的世界领先专家。会议参与者将由理论和应用领域的专家组成。重点将放在光通信、玻色-爱因斯坦凝聚体和超短脉冲激光器的问题上。数学主题包括逆散射和可积非线性演化方程的其他理论方面。讨论的主题属于非线性科学研究的前沿，并且近年来以惊人的速度取得了巨大进展。特别是近年来，孤子理论在光波通信和光波系统稀有事件模拟方面有了新的应用，玻色-爱因斯坦凝聚和超短脉冲激光器等领域的实验进展迅速；所有这些应用领域都与非线性波和可积系统理论密切相关。因此，计划召开一次涵盖这些主题的综合会议。 会议发言人将报告上述领域的最新理论和实验成果。参与者，尤其是年轻科学家，将受益于了解各自领域的最新成果，并能够与国际领先专家进行讨论。由于会议的跨学科性质，专家们将了解与自己相关但不同的领域的最新工作。因此，会议将为不同学科之间的思想交叉提供一个论坛。此外，让处于职业生涯初期的学生和科学家参加会议将促进这些专业知识向下一代数学家和应用科学家的转移。