Bäcklund transformation in bilinear form for a higher-order nonlinear Schrödinger equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 69, Issue 11, 2008, Pages 3706-3714

  Zhu, Hong Wu ^a   Tian, Bo ^a,b  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b BEIHANG UNIVERSITY   (China)

Author keywords

B cklund transformation in bilinear form; Computerized symbolic computation; Double Wronskian solution; Higher order nonlinear Schr dinger equation; Inverse scattering transform scheme; Soliton solution

Indexed keywords

BARIUM; DIFFERENCE EQUATIONS; FIBERS; NONLINEAR EQUATIONS; OPTICAL COMMUNICATION; OPTICAL FIBERS; SOLITONS; SOLUTIONS;

COMPUTERIZED SYMBOLIC COMPUTATION; DOUBLE WRONSKIAN SOLUTION; INVERSE SCATTERING TRANSFORM SCHEME; SOLITON SOLUTION;

MATHEMATICAL TRANSFORMATIONS;

EID: 53949120028     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.10.006     Document Type: Article

References (50)

1. Das G., and Sarma J. Phys. Plasmas 6 (1999) 4394
2. Hong W.P. Phys. Lett. A 361 (2007) 520
3. Tian B., and Gao Y.T. Phys. Lett. A 340 (2005) 243
4. Gao Y.T., and Tian B. Phys. Plasmas (Lett.) 13 (2006) 120703
5. Gao Y.T., and Tian B. Phys. Lett. A 349 (2006) 314
6. Barnett M.P., Capitani J.F., Von Zur Gathen J., and Gerhard J. Int. J. Quantum Chem. 100 (2004) 80
7. Yan Z.Y., and Zhang H.Q. J. Phys. A 34 (2001) 1785
8. Gao Y.T., and Tian B. Europhys. Lett. 77 (2007) 15001
9. Tian B., Wei G.M., Zhang C.Y., Shan W.R., and Gao Y.T. Phys. Lett. A 356 (2006) 8
10. Kivshar Y.S., and Agrawal G.P. Optical Solitons: From Fibers to Photonic Crystals (2003), Academic Press, San Diego
11. Diels J.-C., and Rudolph W. Ultrashort Laser Pulse Phenomena. 2nd ed. (2006), Academic Press, San Diego
12. Tian B., and Gao Y.T. Phys. Lett. A 342 (2005) 228
13. Tian B., Shan W.R., Zhang C.Y., Wei G.M., and Gao Y.T. Eur. Phys. J. B (Rapid Not.) 47 (2005) 329
14. Agrawal G.P. Nonlinear Fiber Optics. 3rd ed. (2001), Academic Press, San Diego
15. Tian B., and Gao Y.T. Phys. Lett. A 359 (2006) 241
16. Kodama Y., and Hasegawa A. IEEE J. Quantum Electron. 23 (1987) 510
17. Hirota R. J. Math. Phys. 14 (1973) 805
18. Gilson C.R., Hietarinta J., Nimmo J.J., and Ohta Y. Phys. Rev. E 68 (2003) 016614
19. Xu Z.Y., Li L., Li Z.H., and Zhou G.S. Phys. Rev. E 67 (2003) 026603
20. Chow K.W. Wave Motion 35 (2002) 71
21. Li B. Int. J. Mod. Phys. C 16 (2005) 1225
22. Brugarino T., and Sciacca M. Opt. Commun. 262 (2006) 250
23. Mahalingam A., and Porsezian K. Phys. Rev. E 64 (2001) 046608
24. Gedalin M., Scott T., and Band Y. Phys. Rev. Lett. 78 (1997) 448
25. Mihalache D., Truta N., and Crasovan L.-C. Phys. Rev. E 56 (1997) 1064
26. Sakovich S. J. Phys. Soc. Japan 66 (1997) 2527
27. Kim J., Park Q.H., and Shin H.J. Phys. Rev. E 58 (1998) 6746
28. Tian B., and Gao Y.T. Eur. Phys. J. D 33 (2005) 59
29. Tian B., and Gao Y.T. Phys. Lett. A 340 (2005) 449
30. Tian B., and Gao Y.T. Phys. Plasmas (Lett.) 12 (2005) 070703
31. Gao Y.T., and Tian B. Phys. Lett. A 361 (2007) 523
32. Hirota R. Progr. Theoret. Phys. 52 (1974) 1498
33. Satsuma J., and Kaup D.J. J. Phys. Soc. Japan 43 (1977) 692
34. Nakamura A. J. Phys. Soc. Japan 47 (1979) 1335
35. Rogers C., and Shadwick W.F. Bäcklund Transformations and Their Applications (1982), Academic Press, New York
36. Hirota R. The Direct Method in Soliton Theory. (edited and translated by A. Nagai, J.J. Nimmo and C.R. Gilson) (2004), Cambridge University Press, Cambridge (in English)
37. Gao Y.T., and Tian B. Phys. Plasmas 13 (2006) 112901
38. Tian B., and Gao Y.T. Phys. Lett. A 362 (2007) 283
39. Hirota R. Phys. Rev. Lett. 27 (1971) 1192
40. Nimmo J.J. Phys. Lett. A 99 (1983) 279
41. Bi J.B., Sun Y.P., and Chen D.Y. Physica A 364 (2006) 157
42. Liu Q.M. J. Phys. Soc. Japan 59 (1990) 3520
43. Freeman N.C. IMA J. Appl. Math. 32 (1984) 125
44. Freeman N.C., and Nimmo J.J. Phys. Lett. A 95 (1983) 1
45. Nimmo J.J., and Freeman N.C. Phys. Lett. A 95 (1983) 4
46. Nimmo J.J., and Freeman N.C. J. Phys. A 17 (1984) 1415
47. Ablowitz M.J., Kaup D.J., Newell A.C., and Segur H. Phys. Rev. Lett. 31 (1973) 125
48. Gardner C.S., Greene J.M., Kruskal M.D., and Miura R.M. Phys. Rev. Lett. 19 (1967) 1095
49. Lax P.D. Comm. Pure Appl. Math. 21 (1968) 467
50. Zakharov V.E., and Shabat A.B. Sov. Phys. JETP 34 (1972) 62