Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities

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	Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities
	Z. Y. Yan; V. V. Konotop
	2009
发表期刊	Physical Review E
ISSN	1539-3755
卷号	80 期号:3
摘要	It is shown that using the similarity transformations, a set of three-dimensional p-q nonlinear Schroumldinger (NLS) equations with inhomogeneous coefficients can be reduced to one-dimensional stationary NLS equation with constant or varying coefficients, thus allowing for obtaining exact localized and periodic wave solutions. In the suggested reduction the original coordinates in the (1+3) space are mapped into a set of one-parametric coordinate surfaces, whose parameter plays the role of the coordinate of the one-dimensional equation. We describe the algorithm of finding solutions and concentrate on power (linear and nonlinear) potentials presenting a number of case examples. Generalizations of the method are also discussed.
部门归属	[yan, zhenya; konotop, v. v.] univ lisbon, ctr fis teor & computac, p-1649003 lisbon, portugal. [yan, zhenya] chinese acad sci, inst syst sci, amss, key lab math mechanizat, beijing 100080, peoples r china. [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [konotop, v. v.] univ lisbon, dept fis, p-1749016 lisbon, portugal.;yan, zy (reprint author), univ lisbon, ctr fis teor & computac, complexo interdisciplinar,ave prof gama pinto 2, p-1649003 lisbon, portugal;zhenyan@cii.fe.ul.pt konotop@cii.fc.ul.pt
关键词	Nonlinear Equations Schrodinger Equation Gross-pitaevskii Equation Schrodinger-equation Dependent Coefficients Solitons Lattice Waves
URL	查看原文
WOS记录号	WOS:000270383500075
引用统计	被引频次：122[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/32477
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. Y. Yan,V. V. Konotop. Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities[J]. Physical Review E,2009,80(3).
APA	Z. Y. Yan,&V. V. Konotop.(2009).Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities.Physical Review E,80(3).
MLA	Z. Y. Yan,et al."Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities".Physical Review E 80.3(2009).