文献类型：期刊文献

英文题名：Geometric integration of the paraxial equation

作者：Sun, Jian-Qiang[1];Gu, Xiao-Yan[2];Hu, Xun-Feng[1]

机构：[1]Hainan Univ, Coll Informat Sci & Technol, Dept Math, Hainan 570228, Peoples R China;[2]E China Univ Sci & Technol, Dept Phys, Shanghai 200237, Peoples R China

年份：2011

卷号：218

期号：7

起止页码：3149

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20114414473191);WOS:【SCI-EXPANDED(收录号:WOS:000297375100017)】；

基金：The authors thank the referee of their value comments and suggestions. This work is supported by the National Natural Science Foundation of China (11161017,11071251), the Natural Science Foundation of Hainan Province (110002) and the Scientific Research Foundation of Hainan University (kyqd1053) and the Young Foundation of Hainan University (qnjj1022)

语种：英文

外文关键词：Symplectic method; The paraxial equation; Energy conservation; Stability; Solitary waves; Photorefractive crystal

摘要：Evolution of solitary waves in photovoltaic-photorefractive crystal satisfy the paraxial equation. The paraxial equation is transformed into the symplectic structure of the infinite dimensional Hamiltonian system. The symplectic structure of the paraxial equation is discretizated by the symplectic method. The corresponding symplectic scheme preserves conservation of discrete energy which reflects conservation of energy of the paraxial equation. The symplectic scheme is applied to simulate the solitary wave behaviors of the paraxial equation. Evolution of the solitary waves with the different applied electric field and the different photovoltaic fields are investigated. (c) 2011 Elsevier Inc. All rights reserved.