Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions

Journal of Mathematical Physics

Volumn 47, Issue 6, 2006, Pages

  Prinari, Barbara ^a   Ablowitz, Mark J ^b   Biondini, Gino ^c  

^a INFN SEZIONE DI LECCE   (Italy)

^b UNIVERSITY OF COLORADO   (United States)

^c UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745711467     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2209169     Document Type: Article

References (25)

1. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, PA, 1981).
2. F. Calogero and A. Degasperis, Spectral Transforms and Solitons (North-Holland, Amsterdam, 1982).
3. S. P. Novikov, V. E. Zakharov, S. V. Manakov, and L. V. Pitaevski, Theory of Solitons (Plenum, New York, 1984).
4. V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 37, 823 (1973).
5. P. P. Kulish, S. V. Manakov, and L. D. Fadeev, Theor. Math. Phys. 28, 625 (1976).
6. I. Kawata and H. Inoue, J. Phys. Soc. Jpn. 44, 1722 (1979).
7. N. Asano and Y. Kato, J. Math. Phys. 22, 2780 (1981);
8. N. Asano and Y. Kato, J. Math. Phys. 25, 570 (1984).
9. V. S. Gerdjikov and P. P. Kulish, Bulg. J. Phys. 5, 337 (1978).
10. J. Leon, J. Math. Phys. 21, 2572 (1980).
11. M. Boiti and F. Pempinelli, Nuovo Cimento Soc. Ital. Fis., A 69A, 213 (1982).
12. L. D. Faddeev and L. A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, Berlin, 1987).
13. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).
14. V. S. Gerdzhikov and P. P. Kulish, J. Sov. Math. 85, 2261 (1983).
15. R. Beals and R. R. Coifman, Commun. Pure Appl. Math. 37, 39 (1984);
16. R. Beals and R. R. Coifman, Commun. Pure Appl. Math. 38, 29 (1985).
17. D. J. Kaup, Stud. Appl. Math. 55, 9 (1976).
18. R. Beals, P. Deift, and C. Tomei, "Direct and inverse scattering on the line," Mathematical Surveys and Monographs (American Mathematical Society, Providence, RI, 1988), Vol. 28.
19. Y. S. Kivshar and S. K. Turitsyn, Opt. Lett. 18, 337 (1993).
20. R. Radhakrishnan and M. Lakshmanan, J. Phys. A 28, 2683 (1995).
21. A. P. Sheppard and Y. S. Kivshar, Phys. Rev. E 55, 4773 (1997).
22. K. Nakkeeran, Phys. Rev. E 64, 046611 (2001).
23. Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).
24. M. J. Ablowitz, B. Prinari, and A. D. Trubatch, Discrete and Continuous Nonlinear Schrödinger Systems (Cambridge University Press, Cambridge, 2004).
25. M. J. Ablowitz and A. S. Fokas, Complex Variables; Introduction and Applications (Cambridge University Press, Cambridge, 2003).