Conference on Nonlinear Waves, Integrable Systems and their Applications

摘要DMS-0513727PI：Chakravarty，科罗拉多大学-科罗拉多斯普林斯分校标题：关于非线性波、可积系统及其应用的会议拟议中的会议将汇集不同的世界领先专家小组，在非线性波、可积系统及其应用的互补主题下。与会者将由理论和应用方面的专家组成。会议重点将放在光通信、玻色-爱因斯坦凝聚体和超短脉冲激光等问题上。数学主题包括逆散射和可积非线性发展方程的其他理论方面。预定讨论的主题处于非线性科学研究的前沿，并在最近以惊人的速度见证了巨大的进步。特别是在过去的几年里，孤子理论在光波通信和光波系统的稀有事件模拟中有了新的应用，在玻色-爱因斯坦凝聚和超短脉冲激光领域取得了快速的实验进展，所有这些应用领域都与非线性波理论和可积系统理论密切相关。因此，计划召开一次涵盖这些专题的全面会议。大会主讲人将报告上述领域的最新理论和实验结果。与会者，特别是年轻的科学家，将受益于了解各自领域的最新结果，并将能够与领先的国际专家进行讨论。由于会议的跨学科性质，专家们将了解与他们自己相关但不同领域的最新工作。因此，这次会议将为不同学科之间的思想交流提供一个论坛。此外，将刚开始职业生涯的学生和科学家纳入会议将促进向下一代数学家和应用科学家传授这方面的专业知识。

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.