U.S.-Italy Cooperative Research: Topics in Nonlinear Phenomena

该奖项将支持克拉克森大学的阿萨纳西奥斯·福卡斯教授与意大利拉萨皮恩扎的罗马大学的保罗·桑蒂尼教授开展研究合作。研究人员打算研究各种主题，包括一类非线性发展方程的直接线性化，从中间长波方程到Benjamin-Ono方程的极限，递归算子以及多维中的双哈密顿和相干结构。合作者有成功相互作用的历史，这导致了当前在可积非线性演化赤道分析方面的一些最好的工作。数学很重要，在物理和工程上都有潜在的应用。

This award will support Professor Athanassios Fokas of Clarkson University in a research collaboration with Professor Paolo Santini of the Universita degli Studi di Roma, "La Sapienza", Italy. The researchers intend to work on a variety of topics including the direct linearization of a class of nonlinear evolution equations, limits from the intermediate long wave equation to the Benjamin-Ono equation, recursion operators and bi-Hamiltonian and coherent structures in multidimensions. The collaborators have a history of successful interaction, which has led to some of the best current work on the analysis of integrable non-linear evolution equators. The mathematics is important and has potential applications to physics and engineering.