[1]
|
K. E. Strecker, G. B. Partridge, A. G. Truscott and R. G. Hulet, “Formation and Propagation of Matter-Wave Soli- ton Trains,” Nature, Vol. 417, 2002, pp. 150-153. doi:10.1038/nature747
|
[2]
|
L. F. Mollenauer, R. H. Stolen and J. P. Gordon, “Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers,” Physics Review Letter, Vol. 45, No. 13, 1980, pp. 1095-1098.
doi:10.1103/PhysRevLett.45.1095
|
[3]
|
C. Q. Dai, X. G. Wang and J. F. Zhang, “Nonautonomous Spatiotemporal Localized Structures in the Inhomogene- ous Optical Fibers: Interaction and Control,” Annals of Physics, Vol. 326, No. 3, 2011, pp. 645-656. doi:10.1016/j.aop.2010.11.005
|
[4]
|
D. Zhao, X. G. He and H. G. Luo, “Transformation from the Nonautonomous to Standard NLS Equations,” Physics and Astronomy, Vol. 53, No. 2, 2009, pp. 213-216. doi:10.1140/epjd/e2009-00051-7
|
[5]
|
I. Towers and B. A. Malomed, “Stable (2+1)-Dimen- sional Solitons in a Layered Medium with Sign-Alter- nating Kerr Nonlinearity,” Journal of the Optical Society of America B, Vol. 19, 2002, pp. 537-543.
doi:10.1364/JOSAB.19.000537
|
[6]
|
Y. Gao and S. Y. Lou, “Analytical Solitary Wave Solutions to a (3+1)-Dimensional Gross-Pitaevskii Equation with Variable Coefficients,” Communications in Theore- tical Physics, Vol. 52, 2009, pp. 1030-1035.
|
[7]
|
V. N. Serkin, A. Hasegawa and T. L. Belyaeva, “No- nautonomous Solitons in External Potentials,” Physics Review Letter, Vol. 98, No. 7, 2007, Article ID: 074102. doi:10.1103/PhysRevLett.98.074102
|
[8]
|
S. A. Ponomarenko and G. P. Agrawal, “Do Solitonlike Self-Similar Waves Exist in Nonlinear Optical Media?” Physics Review Letter, Vol. 97, No. 1, 2006, Article ID: 013901. doi:10.1103/PhysRevLett.97.013901
|
[9]
|
S. Y. Lou, H. C. Hu and X. Y. Tang, “Interactions among Periodic Waves and Solitary Waves of the (N+1)-Di- mensional Sine-Gordon Field,” Physics Review E, Vol. 71, No. 3, 2005, Article ID: 036604.
doi:10.1103/PhysRevE.71.036604
|
[10]
|
S. Y. Lou and G. J. Ni, “The Relations among a Special Type of Solutions in Some (D+1)-Dimensional Nonlinear Equations,” Journal of Mathematical Physics, Vol. 30, No. 7, 1989, pp. 1614-1620. doi:10.1063/1.528294
|
[11]
|
H. M. Li, “Searching for (3+1)-Dimensional Painlevé Integrable Model and Its Solitary Wave Solution,” Chi- nese Physics Letters, Vol. 19, No. 6, 2002, pp. 745-747. doi:10.1088/0256-307X/19/6/301
|
[12]
|
C. L. Zheng, H. P. Zhu and L. Q. Chen, “Exact Solution and Semifolded Structures of Generalized BroerKaup System in (2+1)-Dimensions,” Chaos, Solitons & Fractals, Vol. 26, No. 1, 2004, pp. 181-194.
doi:10.1016/j.chaos.2004.12.017
|
[13]
|
Sirendaoreji and S. Jiong, “Auxiliary Equation Method for Solving Nonlinear Partial Differential Equations,” Physics Letters A, Vol. 309, No. 5-6, 2003, pp. 387-396. doi:10.1016/S0375-9601(03)00196-8
|
[14]
|
E. G. Fan, “An Algebraic Method for Finding a Series of Exact Solutions to Integrable and Nonintegrable Nonlinear Evolution Equations,” Journal of Physics A: Mathematical and General, Vol. 36, No. 25, 2003, p. 7009. doi:10.1088/0305-4470/36/25/308
|
[15]
|
C. L. Zheng and L. Q. Chen, “Some Novel Evolutional Behaviors of Localized Excitations in the Boiti-Leon- Martina-Pempinelli System,” International Journal of Modern Physics B, Vol. 22, No. 6, 2008, pp. 671-682. doi:10.1142/S0217979208038879
|
[16]
|
H. Y. Wu, J. X. Fei and C. L. Zheng, “Self-Similar Solutions of Variable-Coefficient Cubic-Quintic Nonlinear Schr?dinger Equation with an External Potential,” Communications in Theoretical Physics, Vol. 54, 2010, pp. 55-59.
|
[17]
|
J. X. Fei and C. L. Zheng, “Chirped Self-Similar Solutions of a Generalized Nonlinear Schr?dinger Equation,” Verlag der Zeitschrift für Naturforschung, Vol. 66, 2011, pp. 1-5.
|
[18]
|
C. Q. Dai, Y. Y. Wang and X. G. Wang, “Ultrashort Self-Similar Solutions of the Cubic-Quintic Nonlinear Schr?dinger Equation with Distributed Coefficients in the Inhomogeneous Fiber,” Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 15, 2011, Article ID: 155203. doi:10.1088/1751-8113/44/15/155203
|
[19]
|
C. Q. Dai, R. P. Chen and G. Q. Zhou, “Spatial Solitons with the Odd and Even Symmetries in (2+1)-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Media with Transverse W-Shaped Modulation,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, No. 14, 2011, Article ID: 145401. doi:10.1088/0953-4075/44/14/145401
|
[20]
|
C. Sulem and P. L. Sulem, “The Nonlinear Schr?dinger Equation: Self-focusing and Wave Collapse,” Springer- Verlag, New York, 1991.
|
[21]
|
F. Calogero, A. Degasperis and J. Xiaoda, “Nonlinear Schr?dinger-Type Equations from Multiscale Reduction of PDEs. I. Systematic Derivation,” Journal of Mathematical Physics, Vol. 41, No. 9, 2000, p. 6399. doi:10.1063/1.1287644
|
[22]
|
F. Calogero and A. Degasperis, “Nonlinear Schr?dinger- type Equations from Multiscale Reduction of PDEs. II. Necessary Conditions of Integrability for Real PDEs,” Journal of Mathematical Physics, Vol. 42, No. 6, 2001, pp. 2635-2652. doi:10.1063/1.1366296
|
[23]
|
J. He and Y. Li, “Designable Integrability of the Variable Coefficient Nonlinear Schr?dinger Equations,” Studies in Applied Mathematics, Vol. 126, No. 1, 2011, pp. 1-15. doi:10.1111/j.1467-9590.2010.00495.x
|
[24]
|
J. B. Beitia, V. M. Perez-Garcia and V. Brazhnyib, “Solitary Waves in Coupled Nonlinear Schr?dinger Equations with Spatially Inhomogeneous Nonlinearities,” Commu- nications in Nonlinear Science and Numerical Simulation, Vol. 16, No. 1, 2011, Article ID: 158172. doi:10.1016/j.cnsns.2010.02.024
|
[25]
|
L. Gagnon and P. Winternitz, “Symmetry Classes of Variable Coefficient Nonlinear Schr?dinger Equations,” Journal of Physics A: Mathematical and General, Vol. 26, No. 23, 1993, p. 7061. doi:10.1088/0305-4470/26/23/043
|