广义混合非线性Schrdinger方程的拟谱方法

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	广义混合非线性Schrdinger方程的拟谱方法
	梁宗旗
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=yysu200504003&dbcode=CJFQ&dbname=CJFQ2005
	2012-06-05 ; 2012-06-05
关键词	广义混合非线性Schrdinger 方程先验估计半离散拟谱方法精确孤立子解线性稳定性分析数值计算 Generalized complex NLS equation prior estimation semi-discrete pseudo-spectral method convergence the isolated solution linear stability numerical computation O241.82
其他题名	THE PSEUDO-SPECTRAL FOR GENERALIZED COMPLEX NONLINEAR SCHRDINGER EQUATION
中文摘要	本文讨论了广义混合非线性Schrdinger 方程的周期初值问题,构造了守恒的半离散Fourier 拟谱格式,对其近似解进行了先验估计,并证明了格式的收敛性.证明了该方程存在孤立子解,并给出其孤立子解的精确表达式.研究了线性化方程的稳定性问题,即在初值有扰动的情况下,该方程只有振荡解和鞍点.最后,通过数值例子验证了格式的可信性,数值计算表明,本格式时间方向可取大步长且是长时间稳定的,我们还计算了孤立子解,并绘出了在初值有扰动的情况下,相空间的轨线图.; In this paper,the author considers the generalized complex nonlinear Schr(?)dinger equation with periodic initial value problem.A conservative semi-discrete Fourier pseudo- spectral scheme is proposed,where the prior estimation for the discrete system is made,the convergence of the scheme are proved.The existence of the isolated solutions is proved and the solutions to the accurate formulas are obtained.The stability of linearized eqution is discussed.Finally the credibility of the scheme is examined by numerical examples to show that the scheme is stable for a long time.The isolated solution is also checked and the orbit on the phase space is presented.; 【作者单位】集美大学理学院厦门361021；【作者英文名】LIANG ZONGQI (School Sciences Jimei University,Xiamen 361021)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/15879]
专题	集美大学
推荐引用方式 GB/T 7714	梁宗旗. 广义混合非线性Schrdinger方程的拟谱方法[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=yysu200504003&dbcode=CJFQ&dbname=CJFQ2005,2012, 2012.
APA	梁宗旗.(2012).广义混合非线性Schrdinger方程的拟谱方法.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=yysu200504003&dbcode=CJFQ&dbname=CJFQ2005.
MLA	梁宗旗."广义混合非线性Schrdinger方程的拟谱方法".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=yysu200504003&dbcode=CJFQ&dbname=CJFQ2005 (2012).