Traveling-waves and solitons in a generalized time-variable coefficients nonlinear Schrödinger equation with higher-order terms

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 377, Issue 3-4, 2013, Pages 167-175

  Yomba, Emmanuel ^a  

^a CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; SOLITONS; WHITE NOISE;

CONSTRAINT CONDITIONS; EXTERNAL POTENTIAL; F-EXPANSION METHOD; HIGHER ORDER TERMS; INITIAL PERTURBATION; NONAUTONOMOUS EQUATION; NONLINEAR COEFFICIENT; SIMILARITY TRANSFORMATION;

NONLINEAR EQUATIONS;

EID: 84870985594     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2012.11.049     Document Type: Article

References (66)

1. M. Coffey Phys. Rev. B 54 1996 1279
2. G. Das, and J. Sarma Phys. Plasmas 6 1999 4394
3. B. Tian, W.R. Shan, C.Y. Zhang, G.M. Wei, and Y.T. Gao Eur. Phys. J. B 47 2005 329
4. A.T. Avelar, D. Bazeia, and W.B. Cardoso Phys. Rev. E 82 2010 057601
5. W.J. Liu, B. Tian, H.Q. Zhang, L.L. Li, and Y.S. Xue Phys. Rev. E 77 2008 066605
6. W.P. Zhong, and M. Belié Phys. Rev. E 81 2010 056604
7. W.P. Zhong, M. Belié, Y.Q. Lu, and T.W. Huang Phys. Rev. E 81 2010 016605
8. W.P. Zhong, R.H. Xie, M. Belié, N. Petrovié, and G. Chen Phys. Rev. A 78 2008 023821
9. N. Petrovié, M. Belié, W.P. Zhong, R.H. Xie, and G. Chen Opt. Lett. 34 2009 1609
10. V.N. Serkin, and A. Hasegawa Phys. Rev. Lett. 85 2000 4502
11. V.N. Serkin, and A. Hasegawa IEEE J. Sel. Top. Quantum Electron. 8 2002 418
12. V.I. Kruglov, A.C. Peacock, and J.D. Harvey Phys. Rev. Lett. 90 2003 113902
13. V.I. Kruglov, A.C. Peacock, and J.D. Harvey Phys. Rev. Lett. 92 2004 119402
14. V.N. Serkin, A. Hasegawa, and T.L. Belyaeva Phys. Rev. Lett. 92 2004 199401
15. Z.X. Liang, Z.D. Zhang, and W.M. Liu Phys. Rev. Lett. 94 2005 050402
16. Q.Y. Li, Z.D. Li, L. Li, and G.S. Fu Opt. Commun. 283 2010 3361
17. V.N. Serkin, A. Hasegawa, and T.L. Belyaeva Phys. Rev. Lett. 98 2007 07412
18. J. Belmonte-Beitia, V.M. Perez-Garcia, V. Vekslerchik, and V.V. Konotop Phys. Rev. Lett. 100 2008 164102
19. D. Zhao, H.G. Luo, and Y.H. Cai Phys. Lett. A 372 2008 5644
20. X.G. He, D. Zhao, L. Li, and H.G. Luo Phys. Rev. E 79 2009 056610
21. V.N. Serkin, A. Hasegawa, and T.L. Belyaeva Phys. Rev. A 81 2010 023610
22. D. Zhao, Y.J. Zhang, W.W. Lou, and H.G. Luo J. Math. Phys. 52 2011 043502
23. Y.S. Kivshar, and G.P. Agrawal Optical Solitons: From Fibers to Photonic Crystals 2003 Academic Press San Diego
24. L. Pitaevskii, and S. Stringari Bose-Einstein Condensate 2003 Oxford University Press Oxford
25. N. Akhmediev, and E. Pelinovsky Eur. Phys. J. Special Topics 185 2010 1
26. Q. Tian, L. Wu, J.-F. Zhang, B.A. Malomed, D. Mihalache, and W.M. Liu Phys. Rev. E 83 2011 016602
27. E.B. Kolomeisky, T.J. Newman, J.P. Straley, and X. Qi Phys. Rev. Lett. 85 2000 1146
28. X. Lü, H.W. Yao, X.H. Meng, C. Zhang, C.Y. Zhang, and B. Tian Ann. Phys. 323 2008 1947
29. X. Lü, B. Tian, T. Xu, K.J. Cai, and W.J. Liu Ann. Phys. 323 2008 2554
30. D. Zhao, X.G. He, and H.G. Luo Eur. Phys. J. D 53 2009 213
31. J.C. Liang, H.P. Liu, F. Liu, and L. Yi J. Phys. A: Math. Theor. 42 2009 335204
32. S.L. Xu, J.C. Liang, and L. Yi Commun. Theor. Phys. 53 2010 159
33. Y.B. Deng, C.H. Wang, X.Q. Fu, and L.F. Zhang Opt. Commun. 284 2011 1364
34. C.Q. Dai, Y.Y. Wang, and J.F. Zhang Opt. Lett. 35 2010 1437
35. C.Q. Dai, S.Q. Zhu, L.L. Wang, and J.F. Zhang Europhys. Lett. 92 2010 24005
36. C.Q. Dai, and J.F. Zhang Opt. Lett. 35 2010 2651
37. Z.Y. Yan, V.V. Konotop, and N. Akhmediev Phys. Rev. E 82 2010 036610
38. C.Q. Dai, Y.Y. Wang, and J.F. Zhang Ann. Phys. 326 2011 645
39. F.Kh. Abdullaev, A.A. Abdumalikov, and R.M. Galimzyanov Phys. Lett. A 367 2007 149
40. U. Al Khawaja J. Phys. A: Math. Theor. 39 2006 9679
41. K.D. Moll, A.L. Gaeta, and G. Fibich Phys. Rev. Lett. 90 2003 203902
42. P.K. Kevrekidis, and D.J. Frantzeskakis Mod. Phys. Lett. B 18 2003 173
43. V.M. Pérez-García, V.V. Konotop, and V.A. Brazhnyi Phys. Rev. Lett. 92 2004 220403
44. C.Q. Dai, Y.Y. Wang, and X.G. Wang J. Phys. A: Math. Theor. 44 2011 155203
45. J.D. He, and J.F. Zhang J. Phys. A: Math. Theor. 44 2011 205203
46. A. Mohamadou, E. Wamba, D. Lissouck, and T.C. Kofané Phys. Rev. E 85 2012 046605
47. A.T. Avelar, D. Bazeia, and W.B. Cardoso Phys. Rev. E 79 2009 025602(R)
48. J. Belmonte-Beitia, and J. Cuevas J. Phys. A: Math. Theor. 42 2009 165201
49. J. Belmonte-Beitia, and G.F. Calvo Phys. Lett. A 373 2009 448
50. J.R. He, and H.M. Li Phys. Rev. E 83 2011 066607
51. A. Hasegawa, and F. Tappert Appl. Phys. Lett. 23 1973 142
52. H.P. Zhu Commun. Theor. Phys. 58 2012 67
53. C.L. Zheng, and Y. Li Chin. Phys. B 21 2012 070305
54. C.Q. Dai, G.Q. Zhou, and J.F. Zhang Phys. Rev. E 85 2012 016603
55. F.B. Pelap, and T.C. Kofané Phys. Scr. 57 1998 410
56. T. Kakutani, and K.J. Michihiro J. Phys. Soc. Jpn. 52 1983 4129
57. R.S. Johnson Proc. R. Soc. 357 1977 131
58. E.J. Parkes J. Phys. A: Math. Gen. 20 1987 2025
59. R. Ndohi, and T.C. Kofané Phys. Lett. A 154 1991 377
60. V.R. Kumar, R. Radha, and M. Wadati JPSJ 79 2010 074005
61. J.R. He, and H.M. Li Phys. Rev. E 83 2011 066607
62. M. Belié, N. Petrovié, W.P. Zhong, R.H. Xie, and G. Chen Phys. Rev. Lett. 101 2008 123904
63. C.Q. Dai, and J.F. Zhang Int. J. Mod. Phys. B 19 2005 2129
64. C.Q. Dai, and Y.Y. Wang Phys. Scr. 78 2008 015013
65. R. Courant, and D. Hillert Methods of Mathematical Physics 1989 John Wiley and Sons New York
66. P. Muruganandam, and S.K. Adhikari Comput. Phys. Commun. 180 2009 1888