Journal
Article title
Title variants
Languages of publication
Abstracts
A generalized G'/G-expansion method is extended to construct exact solutions to the two-dimensional generalized nonlinear Schrödinger equation with distributed coefficients. Hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained. Selecting parameters and parameter functions properly, novel light bullet soliton solutions with or without the chirp are presented.
Discipline
- 02.30.Jr: Partial differential equations
- 42.65.Tg: Optical solitons; nonlinear guided waves(for solitons in fibers, see 42.81.Dp)
- 03.65.Ge: Solutions of wave equations: bound states
- 05.45.Yv: Solitons(see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq—in Acoustics Appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.05.Fg; for solitary waves in fluid dynamics, see 47.35.Fg)
Journal
Year
Volume
Issue
Pages
622-625
Physical description
Dates
published
2013-10
received
2012-07-22
(unknown)
2013-07-23
Contributors
author
- School of Science, Huzhou Teachers College, Huzhou 313000, China
author
- School of Science, Huzhou Teachers College, Huzhou 313000, China
author
- School of Science, Huzhou Teachers College, Huzhou 313000, China
author
- School of Science, Huzhou Teachers College, Huzhou 313000, China
References
- [1] P.L. Christiansen, Future Directions of Nonlinear Dynamics in Physical and Biological System, Plenum Press, New York 1993
- [2] V.E. Zakharov, A.B. Shabat, Sov. Phys. JETP 34, 62 (1971)
- [3] D.J. Kaup, Prog. Theor. Phys. 54, 396 (1975)
- [4] V.N. Serkin, A. Hasegawa, Phys. Rev. Lett. 85, 4502 (2000)
- [5] S. Chen, L. Yi, D.S. Gao, P. Lu, Phys. Rev. E 72, 016622 (2005)
- [6] B.E.A. Saleh, M. Teich, Fundamentals of Photonics, Wiley, New York 2007
- [7] M.Z. Rached, E. Recami, J. Math. Phys. 53, 052102 (2012)
- [8] I. Towers, B.A. Malomed, J. Opt. Soc. Am. B 19, 537 (2002)
- [9] L. Berge, V.K. Mezentsev, J.J. Rasmussen, P.L. Christiansen, Y.B. Gaididei, Opt. Lett. 25, 1037 (2000)
- [10] H. Saito, M. Ueda, Phys. Rev. Lett. 90, 040403 (2003)
- [11] W.P. Zhong, R.H. Xie, M. Belić, N. Petrović, G. Chen, L. Yin, Phys. Rev. A 78, 023821 (2008)
- [12] Y.B. Zhou, M.L. Wang, Y.M. Wang, Phys. Lett. A 308, 31 (2003)
- [13] M.L. Wang, X.Z. Li, J.L. Zhang, Phys. Lett. A 372, 417 (2007)
- [14] Y.L. Ma, B.Q. Li, Acta Phys. Sin. 58, 4373 (2009) (in Chinese)
- [15] S. Zhang, J.L. Tong, W. Wang, Phys. Lett. A 372, 225 (2008)
- [16] W.H. Huang, J.W. Mao, W.G. Qiu, Acta Phys. Pol. A 119, 279 (2011)
- [17] V.I. Kruglov, A.C. Peacock, J.D. Harvey, Phys. Rev. E 71, 056619 (2005)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv124n402kz