Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 3, 2009, Pages

  Belmonte Beitia, Juan ^a  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64549144960     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/3/035208     Document Type: Article

References (29)

1. Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198
2. Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
3. Eiermann B, Anker Th, Albiez M, Taglieber M, Treutlein P, Marzlin K-P and Oberthaler M K 2004 Phys. Rev. Lett. 92 230401
4. Gross E P 1963 J. Math. Phys. 4 195
5. Pitaevskii L P 1061 Sov. Phys.-JETP 13 451
6. Sulem C and Sulem P L 1999 The Nonlinear Schrödinger Equation (New York: Springer)
7. Ablowitz M J and Segur H 1981 Solitons and The Inverse Scattering Transform (Philadelphia: SIAM)
8. Musslimani Z H et al 2008 J. Phys. A: Math. Theor. 41 244019
9. van Saarloos W and Hohenberg P C 1992 Physica D 56 303
10. Inouye S, Andrews M R, Stenger J, Miesner H J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 151
11. Theis M, Thalhammer G, Winkler K, Hellwig M, Ruff G, Grimm R and Denschlag J H 2004 Phys. Rev. Lett. 93 123001
12. Abdullaev F Kh, Kamchatnov A M, Konotop V V and Brazhnyi V A 2003 Phys. Rev. Lett. 90 230402
13. Pérez-García V M, Konotop V V and Brazhnyi V A 2004 Phys. Rev. Lett. 92 220403
14. Kevrekidis P G, Pelinovsky D E and Stefanov A 2006 J. Phys. A: Math. Gen. 39 479-88
15. Belmonte-Beitia J, Pérez-García V M, Vekslerchik V and Torres P J 2007 Phys. Rev. Lett. 98 064102
16. Belmonte-Beitia J, Pérez-García V M, Vekslerchik V and Torres P J 2008 Discrete and Continuous Dynamical Systems-Series B 9 221-33
17. Belmonte-Beitia J, Pérez-García V M, Vekslerchik V and Konotop V V 2008 Phys. Rev. Lett. 100 164102
18. Sivan Y, Fibich G and Weinstein M I 2006 Phys. Rev. Lett. 97 193902
19. Sivan Y, Fibich G and Ilan B 2008 Phys. Rev. E 77 045601
20. Belmonte-Beitia J and Torres P J 2008 J. Nonlinear Math. Phys. 15 65-72
21. Sakaguchi H and Malomed B A 2006 Phys. Rev. E 73 026601
22. Akhmediev N N 1982 Sov. Phys.-JETP 56 299-303
23. Jones C K R T and Moloney J V 1986 Phys. Lett. A 117 4
24. Kivshar Y S and Agrawal G P 2003 Optical Solitons: From Fibers to Photonic Crystals (New York: Academic)
25. n: Progress in mathematics (Basle: Birkhäuser)
26. Ambrosetti A, Arcoya D and Gmez J L 1998 Rend. Sem. Mat. Univ. Padova 100 231-47
27. Grillakis M, Shatah J and Strauss W 1987 J. Funct. Anal. 74 160-97
28. Grillakis M, Shatah J and Strauss W 1990 J. Funct. Anal. 94 308-48
29. Fibich G, Sivan Y and Weinstein M 2006 Physica D 217