Nonlinear phenomena, optical and quantum solitons.
Nonlinear phenomena, optical and quantum solitons.
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非线性现象、光学和量子孤子。
DOI：
10.1098/rsta.2010.0372
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Lombardo S
中科院分区：
文献类型：
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作者：
Lombardo S
近年来，孤子理论及其应用的研究取得了令人瞩目的发展，并影响了广泛的领域，包括特殊函数理论、量子可积系统、数值分析、元胞自动机、量子群表示和离散几何等。布洛（英语：Bullough，1929年11月21日-2008年8月30日）是一位英国数学物理学家，以其对孤子理论的贡献而闻名。特别是，他是众所周知的，他的作用，在发展理论的光学孤子，一个长期创造的他，现在常用的，例如，在理论的传播电磁脉冲在光纤。布洛也被称为推导精确解的非线性方程描述这些孤子和相关工作的可积系统，无限维哈密顿系统（经典和量子）和统计力学的这些系统。他著名的大合成孤子理论，一个巨大的图表包含了大量的领域在数学和数学物理，与连接（实线时建立;虚线时预期），描绘了国家的艺术约10年前的理论，并在同一时间的优势之一，即其跨学科的性质。事实上，这张图表显示了看似完全不同的主题之间的显著联系。该图是Robin的遗产：随着点连接变得坚实，随着带有相应链接的新主题区域的添加，该图将不断发展，从而使该图变得越来越复杂。
Research in the theory of solitons and its applications has undergone impressive development in recent years and has affected a broad range of fields, including theory of special functions, quantum integrable systems, numerical analysis, cellular automata, representations of quantum groups and discrete geometry among others.Robin K. Bullough (21 November 1929–30 August 2008) was a British mathematical physicist famous for his contributions to the theory of solitons. In particular, he is known for his role in the development of the theory of the optical soliton, a term coined by him, and now commonly used, for example, in the theory of propagation of electromagnetic pulses in optical fibres. Bullough is also known for deriving exact solutions to nonlinear equations describing these solitons and for associated work on integrable systems, infinite-dimensional Hamiltonian systems (both classical and quantum) and the statistical mechanics of these systems. His famous Grand Synthesis of Soliton Theory, a huge diagram containing a vast array of areas in mathematics and mathematical physics, with connections (solid lines when established; dotted when expected), portrays the state of the art for about 10 years ago of the theory, and at the same time one of its strengths, namely its interdisciplinary character. Indeed, the diagram shows remarkable connections between seemingly disparate subjects. The diagram is a legacy of Robin: it perpetually evolves as dotted connections become solid and as new subject areas with corresponding links are added so that the diagram becomes increasingly more complex.