Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities

doi:10.1007/s11071-015-2143-9

CSpace > 系统科学研究所

	Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities
	Yan, Zhenya
	2015-10-01
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	82 期号:1-2 页码:119-129
摘要	We investigate the two-dimensional cubic-quintic nonlinear Schrodinger (CQNLS) equation with space-modulated potential and nonlinearities, which describes the nonlinear wave interactions in nonlinear optics and Bose-Einstein condensates. We use the modified conformal mapping, the Cauchy-Riemann equation, and its extension to present many types of new wave structures of this CQNLS model for different external potentials and nonlinearities, which exhibit bright-like and dark-like solitons, vortex solitons, and other types of wave solutions. Moreover, we also analyze the velocity fields and transverse power-flow or Poynting vectors related to the obtained wave solutions and find the direct relationships between the velocity fields and transverse power-flow or Poynting vectors.
关键词	The cubic-quintic NLS equation with space-modulated coefficients Stationary solutions Conformal mapping Cauchy-Riemann equation Bright-like and dark-like solitons Vortex solitons
DOI	10.1007/s11071-015-2143-9
语种	英语
资助项目	NSFC[61178091]
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000362578100011
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20934
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities[J]. NONLINEAR DYNAMICS,2015,82(1-2):119-129.
APA	Yan, Zhenya.(2015).Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities.NONLINEAR DYNAMICS,82(1-2),119-129.
MLA	Yan, Zhenya."Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities".NONLINEAR DYNAMICS 82.1-2(2015):119-129.