期刊
NONLINEAR DYNAMICS
卷 88, 期 4, 页码 2807-2816出版社
SPRINGER
DOI: 10.1007/s11071-017-3413-5
关键词
Vector spatiotemporal soliton; Transverse modulation; Kerr medium; Stable region
资金
- Zhejiang Provincial Natural Science Foundation of China [LY17F050011, LZ17A040001]
- National Natural Science Foundation of China [11375007, 11574271]
- Foundation of New Century 151 Talent Engineering of Zhejiang Province of China
- Youth Top-notch Talent Development and Training Program of Zhejiang AF University
- Science Research Foundation of Zhejiang Sci-Tech University (ZSTU) [14062078-Y]
Analytical vector spatiotemporal soliton solutions are derived in a spatially inhomogeneous Kerr nonlinear medium with a transverse modulation by means of a generic transformation. As an example, spatiotemporal soliton clusters such as Gaussian soliton clusters and radially symmetric soliton clusters in the media with the parabolic transverse modulation and without transverse modulation are constructed. The stability of vector spatiotemporal soliton clusters is investigated analytically and numerically, and results indicate that in the spatially inhomogeneous Kerr nonlinear medium, besides the stable fundamental solitons, stable higher-order mode exists below the critical propagation constant.
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