Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities
文献类型:期刊论文
| 作者 | Yan, Zhenya
|
| 刊名 | NONLINEAR DYNAMICS
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| 出版日期 | 2015-10-01 |
| 卷号 | 82期号:1-2页码:119-129 |
| 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 |
| ISSN号 | 0924-090X |
| DOI | 10.1007/s11071-015-2143-9 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000362578100011 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20933] ![]() |
| 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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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