Journal
NONLINEAR DYNAMICS
Volume 87, Issue 3, Pages 1675-1683Publisher
SPRINGER
DOI: 10.1007/s11071-016-3143-0
Keywords
Cubic-quintic-septimal nonlinearity; PT -symmetric potential; Light bullet; Compression and expansion
Categories
Funding
- Zhejiang Provincial Natural Science Foundation of China [LY17F050011, LY17A040011]
- National Natural Science Foundation of China [11375007, 11574271, 11404289]
- 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]
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A(3+1)-dimensional nonlinear Schrodinger equationwith variable-coefficient dispersion/diffraction and cubic-quintic-septimal nonlinearities is studied, two families of analytical light bullet solutions with two types of PT -symmetric potentials are obtained. The coefficient of the septimal nonlinear term strongly influences the form of light bullet. The direct numerical simulation indicates that light bullet solutions in different cubic-quintic-septimal nonlinear media exhibit different property of stability, and under different PT symmetric potentials they also show different stability against white noise. These stabilities of evolution originate from subtle interplay among dispersion, diffraction, nonlinearity and PT -symmetric potential. Moreover, compression and expansion of light bullets in the hyperbolic dispersion/diffraction system and periodic modulation system are investigated numerically. The evolution of light bullet in periodic modulation system is more stable than that in the hyperbolic dispersion/diffraction system.
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