US-UAE Cooperative Research: Integrable Systems and Applications to Optical Pulse Propagation

0096938福雷斯特描述：该奖项是为了支持一个联合研究项目的M。格雷戈里森林，教授，数学系，北卡罗来纳州，查佩尔山，北卡罗来纳州和博士奥蒂斯C。Wright，阿拉伯联合酋长国（阿联酋）艾因阿拉伯联合酋长国大学数学和计算机科学系。研究了任意弱色散非线性系统中包络脉冲传输的控制方程，即非线性薛定谔方程。 合作的目的是建立在已经获得的结果的散焦NLS方程和耦合NLS方程组，并将这些结果应用于光脉冲传输。 范围：该奖项将允许美国科学家与在阿联酋工作的科学家合作。 赖特博士是一位在国外工作的美国科学家。 他是一个新的博士。在国外从事年轻大学生教育的毕业生，在那里他的领域可能很少进行研究。 他必须在现阶段与美国科学家在互利领域保持合作。 该提案符合INT的目标，即支持美国与外国在互利领域的科学合作。 国际方案司和数学司为该项目提供资金。

0096938ForrestDescription: This award is for support of a joint research project by Dr. M. Gregory Forest, Professor, Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina and Dr. Otis C. Wright, Mathematics and Computer Science Department at the United Arab Emirates University, Al-Ain, United Arab Emirates (UAE). The research addresses the nonlinear Schrodinger (NLS) equation with nonlinearity, which is the governing equation of envelope pulse propagation in any weakly dispersive and nonlinear system. The purpose of the collaboration is to build on results already obtained for the defocusing NLS equation and the coupled NLS system of equations, and the application of these results to optical pulse transmission. Scope: This award will allow a US scientist to collaborate with a scientist working in the UAE. Dr. Wright is a US scientist working abroad. He is a recent Ph.D. graduate who is engaged in educating young college students in a foreign country where it is likely that little research in his field is being carried out. It is important for him to maintain his collaboration with scientists in the United States at this stage in areas where there is mutual benefit. This proposal meets the INT objective of supporting US-foreign scientific collaboration in areas of mutual benefit. The Division of International Programs and the Division of Mathematics provide funding for this project.