Multi-soliton solutions and a Bäcklund transformation for a generalized variable-coefficient higher-order nonlinear Schrödinger equation with symbolic computation

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 1, 2008, Pages 97-107

  Meng, Xiang Hua ^a   Liu, Wen Jun ^a   Zhu, Hong Wu ^a   Zhang, Chun Yi ^b,c   Tian, Bo ^a  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b Meteorology Center of Air Force Command Post   (China)

^c BEIHANG UNIVERSITY   (China)

Author keywords

B cklund transformation; Bilinear method; Multi soliton solutions; Symbolic computation; Variable coefficient higher order nonlinear Schr dinger equation

Indexed keywords

CODES (SYMBOLS); DIELECTRIC WAVEGUIDES; LASER PULSES; MATHEMATICAL TRANSFORMATIONS; NONLINEAR ANALYSIS; PARAMETER ESTIMATION;

BACKLUND TRANSFORMATION; BILINEAR METHODS; MULTI SOLITON SOLUTIONS; SYMBOLIC COMPUTATION; VARIABLE-COEFFICIENT HIGHER-ORDER NONLINEAR SCHRODINGER EQUATION;

SCHRODINGER EQUATION;

EID: 35748964422     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.08.028     Document Type: Article

References (65)

1. Hasegawa A., and Tappert F. Appl. Phys. Lett. 23 (1973) 171
2. Hasegawa A., and Tappert F. Appl. Phys. Lett. 142 (1973) 171
3. Mollenauer L.F., Stolen R.H., and Gordon J.P. Phys. Rev. Lett. 45 (1980) 1095
4. Lamb Jr. G.L. Elements of Soliton Theory (1980), A Wiley-Interscience Publication, Wiley, New York
5. Toda H., Furukawa Y., Kinoshita T., Kodama Y., and Hasegawa A. IEEE Photon. Technol. Lett. 9 (1997) 1415
6. Kanna T., Tsoy E.N., and Akhmediev N. Phys. Lett. A 330 (2004) 224
7. Abdullaev F.K., and Garnier J. Phys. Rev. E 72 (2005) 035603 (R)
8. Xu T., Zhang C.Y., Wei G.M., Li J., Meng X.H., and Tian B. Eur. Phys. J. B 55 (2007) 323
9. Zhang H.Q., Meng X.H., Xu T., Li L.L., and Tian B. Phys. Scr. 75 (2007) 537
10. Matine D.U., and Yuen H.C. J. Phys. Fluids 23 (1980) 881
11. Kuznetsov E.A., Rubenchik A.M., and Zakharov V.E. Phys. Rep. 142 (1986) 103
12. Colin T. Phys. D 64 (1993) 215
13. Movaghar B., and Howard I.A. Synth. Met. 27 (1988) A61
14. Zhang J. J. Statist. Phys. 101 (2000) 731
15. Agrawal G.P. Nonlinear Fiber Optics (1995), Academic Press, New York
16. Tian B., and Gao Y.T. Phys. Lett. A 342 (2005) 228
17. Tian B., Shan W.R., Zhang C.Y., Wei G.M., and Gao Y.T. Eur. Phys. J. B. (Rapid Not.) 47 (2005) 329
18. Mitschke F.M., and Mollenauer L.F. Opt. Lett. 11 (1986) 659
19. Gordon J.P. Opt. Lett. 11 (1986) 662
20. Kodama Y., and Hasegawa A. IEEE J. Quantum Electron. 23 (1987) 510
21. Mahalinggam A., and Porsezian K. Phys. Rev. E 64 (2001) 046608
22. Mihalache D., Truta N., and Crasovan L.-C. Phys. Rev. E 56 (1997) 1064
23. Sasa N., and Satsuma J. J. Phys. Soc. Jpn. 60 (1991) 409
24. Xu Z.Y., Li L., Li Z.H., and Zhou G.S. Opt. Commun. 210 (2002) 375
25. Hao R.Y., Li L., Li Z.H., and Zhou G.S. Phys. Rev. E 70 (2004) 066603
26. Yang R.C., Hao R.Y., Li L., Li Z.H., and Zhou G.S. Opt. Commun. 242 (2004) 285
27. Tian B., and Gao Y.T. Phys. Lett. A 359 (2006) 241
28. Meng X.H., Zhang C.Y., Li J., Xu T., Zhu H.W., and Tian B. Z. Naturforsch. 62a (2007) 13
29. Dai C.Q., and Zhang J.F. J. Phys. A 39 (2006) 723
30. Ruan H.Y., and Li H.J. J. Phys. Soc. Jpn. 74 (2005) 543
31. Ostrovskii L.A. Sov. Phys. 24 (1967) 797
32. Jonek R.J., and Landauer R. Phys. Lett. A 24 (1967) 228
33. Zhang F., and Ye P.D. Acta Photon. Sin. 32 (2003) 133
34. Nakazawa M., Kubota H., Suzuki K., Yamada E., and Sahara A. IEEE J. Select. Top. Quantum Electron. 6 (2000) 363
35. Kubota H., and Nakazawa M. Opt. Commun. 87 (1991) 15
36. Hirota R. Phys. Rev. Lett. 27 (1971) 1192
37. Hirota R., and Satsuma J. J. Phys. Soc. Jpn. 40 (1980) 611
38. Hirota R., and Satsuma J. Prog. Theor. Phys. Suppl. 59 (1976) 64
39. Hirota R. Prog. Theor. Phys. 52 (1974) 1498
40. Hu X.B. J. Phys. A 27 (1994) 201
41. Eisenhart L. A Traetise on the Differential Geometry of Curves and Surfaces (1960), Dover, New York
42. Wadati M., Sanuki H., and Konno K. Prog. Theor. Phys. 53 (1975) 419
43. Tian B., and Gao Y.T. Eur. Phys. J. B 22 (2001) 351
44. Das G., and Sarma J. Phys. Plasmas 6 (1999) 4394
45. Barnett M.P., Capitani J.F., Von Zur Gathen J., and Gerhard J. Int. J. Quant. Chem. 100 (2004) 80
46. Tian B., and Gao Y.T. Phys. Plasmas (Lett.) 12 (2005) 070703
47. Tian B., and Gao Y.T. Phys. Lett. A 340 (2005) 243
48. Tian B., and Gao Y.T. Phys. Lett. A 362 (2007) 283
49. Tian B., and Gao Y.T. Eur. Phys. J. D 33 (2005) 59
50. Tian B., and Gao Y.T. Phys. Plasmas 12 (2005) 054701
51. Xu T., Zhang C.Y., Li J., Meng X.H., Zhu H.W., and Tian B. Wave motion 44 (2007) 262
52. Yan Z.Y., and Zhang H.Q. J. Phys. A 34 (2001) 1785
53. Hong W.P. Phys. Lett. A 361 (2007) 520
54. Gao Y.T., and Tian B. Phys. Lett. A 349 (2006) 314
55. Gao Y.T., and Tian B. Phys. Lett. A 361 (2007) 523
56. Gao Y.T., and Tian B. Phys. Plasmas 13 (2006) 112901
57. Gao Y.T., and Tian B. Phys. Plasmas (Lett.) 13 (2006) 120703
58. Gao Y.T., and Tian B. Europhys. Lett. 77 (2007) 15001
59. Hirota R. The Direct Method in Soliton Theory (2004), Cambridge University Press, Cambridge
60. Nimmo J.J., and Freeman N.C. J. Phys. A 17 (1984) 1415
61. Bi J.B., Sun Y.P., and Chen D.Y. Phys. A 364 (2006) 157
62. Hirota R. J. Math. Phys. 14 (1973) 805
63. H.W. Zhu, B. Tian, Sciencepaper Online, Chinese Ministry of Education, No. 200701-216 〈http://www.paper.edu.cn/index.html〉; B. Tian, Y.T. Gao, H.W. Zhu, Phys. Lett. A 366 (2007) 223.
64. Tomlinson W.J., Stolen R.H., and Johnson A.M. Opt. Lett. 10 (1985) 457
65. Hamaide J.-P., and Emplit P. Electron. Lett. 24 (1988) 818