Chirped waves for a generalized (2 + 1)-dimensional nonlinear Schrödinger equation

Communications in Theoretical Physics

Volumn 55, Issue 4, 2011, Pages 555-559

  Lai, Xian Jing ^a  

^a ZHEJIANG SHUREN UNIVERSITY   (China)

Author keywords

(2+1) dimensional nonlinear Schr dinger equation; ansatz method; chirp; qusi periodic wave solution; soliton like wave solution

Indexed keywords

EID: 79955673896     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/55/4/04     Document Type: Article

References (30)

1. L. Vzquez, L. Streit and V.M. Pérez-García 1997 Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications (World Scientific, Singapore)
2. F. Brezzi and P.A. Markowich 1991 Math. Meth. Appl. Sci. 14 35
3. J.L. López and J. Soler 2000 Math. Meth. Appl. Sci. 10 343
4. Y. Kivshar and G.P. Agrawal 2003 Optical Solitons: from Fibers to Photonic Crystals (Academic Press, San Diego)
5. A. Hasegawa 1989 Optical Solitons in Fibers (Springer-Verlag, Berlin)
6. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon and H.C. Morris 1982 Solitons and Nonlinear Wave Equations (Academic Press, New York)
7. J.L. Rosales and J.L. Snchez-Gómez 1992 Phys. Lett. A 66 111
8. R. Fedele, G. Miele, L. Palumbo and V.G. Vaccaro 1993 Phys. Lett. A 173 407
9. F. Dalfovo, S. Giorgini, L.P. Pitaevskii and S. Stringari 1999 Rev. Mod. Phys. 71 463
10. A.S. Davydov 1985 Solitons in Molecular Systems (Reidel, Dordrecht)
11. V.E. Zakharov and A.B. Shabat 1972 Sov. Phys. JETP 34 62
12. D. Mihalache, L. Torner, F. Moldoveanu, N.C. Panoiu and N. Truta 1993 Phys. Rev. E 48 4699
13. R. Hirota 1973 J. Math. Phys. 14 805
14. M. Gedalin, T.C. Scott and Y.B. Band 1997 Phys. Rev. Lett. 78 448
15. D. Mihalache, N. Truta and L.C. Crasovan 1997 Phys. Rev. E 56 1064
16. V.B. Matveev and M.A. Salle 1991 Darboux Transformation and Solitons (Springer-Verlag, Berlin)
17. N.N. Akhmediev, V.M. Eleonskii and N.E. Kulagin 1987 Theor. Math. Phys. 72 809
18. V.I. Karpman, J.J. Rasmussen and A.G. Shagalov 2001 Phys. Rev. E 64 026614
19. F. Abdullaeev 1994 Throry of Solitons in Inhomogeneous Media (Wiley, New York)
20. J. Belmonte-Beitia, V.M. Perez-Garcia, V. Vekslerchik and V.V. Konotop 2008 Phys. Rev. Lett. 100 164102
21. C.Q. Dai, Y.Y. Wang and C.J. Yan 2010 Opt. Commun. 283 1489
22. C.Q. Dai, Y.Y. Wang and J.F. Zhang 2010 Opt. Lett. 35 1437
23. V.N. Serkin and A. Hasegawa 2000 Opt. Commun. 85 4502
24. S. Chen, L. Yi, D.S. Guo and P. Lu 2005 Phys. Rev. E 72 016622
25. I. Towers and B.A. Malomed 2002 J. Opt. Soc. Am. B 19 537
26. L. Wu, J.F. Zhang, L. Li, Q. Tian and K. Porsezian 2008 Opt. Express 16 6352
27. W.P. Zhong, R.H. Xie, M. Belic, N. Petrovic, G. Chen and L. Yi 2008 Phys. Rev. A 78 023821
28. C.Q. Dai, Y.Y. Wang and J.F. Zhang 2010 Opt. Lett. 35 2651
29. J.F. Zhang, C.Q. Dai, Q. Yang and J.M. Zhu 2005 Opt. Commun. 252 408
30. L.L. Wang, Q. Cun, et al 2010 Opt. Commun. doi: 10.1016/j.optcom.2010.06. 062, in press