Mathematical Sciences: Optical Solitons and Semiclassical Solutions of the Quantum Nonlinear Schrodinger Equation

9508711数学科学中的大学-产业合作研究计划是旨在为学术界和产业界在其职业生涯的不同阶段交流数学科学家的机制而设计的计划。这些计划将加强产业界和学术界之间的联系，并确定和鼓励数学科学研究的新途径。大学-工业博士后研究奖学金为最近获得数学科学博士学位的人提供两年的支持。这些奖项是为国家科学努力的未来活力做出贡献的一种手段。这位博士后研究员将与学术界和工业界的科学顾问密切合作。格雷戈里·G·卢瑟从罗切斯特大学获得博士学位，将在圣母大学的马克·S·阿尔伯、伯克利的杰罗尔德·E·马斯登和惠普的乔纳森·罗宾斯的指导下工作。洛斯阿拉莫斯国家实验室的合作者也将参加。这项研究将是基于孤子的长途光通信系统。先进的解析和数值技术将被用来研究模拟光通信和信息处理系统的非线性波动方程的孤子解和类孤子解的细节。

9508711 Alber The University-Industry Cooperative Research Programs in the Mathematical Sciences are programs designed to establish a mechanism for exchange of mathematical scientists between academia and industry at different stages of their careers. These programs will strengthen the links between industry and academia and identify and encourage new avenues of research in the mathematical sciences. The University-Industry Postdoctoral Research Fellowships provide two years of support for recent recipients of doctoral degrees in the mathematical sciences. These awards are a means of contributing to the future vitality of the scientific effort of the nation. The postdoctoral fellow will work closely with scientific advisors from both academia and industry. Gregory G. Luther received his doctoral degree from the University of Rochester and will work under the direction of Mark S. Alber at Notre Dame, Jerrold E. Marsden at Berkeley, and Jonathan Robbins at Hewlett-Packard. Collaborators at Los Alamos National Laboratory will also participate. The research will be on soliton-based long-haul optical communications systems. Both advanced analytical and numerical techniques will be used to study details of soliton and soliton-like solutions of the nonlinear wave equations that model optical communications and information processing systems.