Theory of nonlinear dispersive waves and selection of the ground state

Physical Review Letters

Volumn 95, Issue 21, 2005, Pages

  Soffer, A ^a   Weinstein, M I ^b  

^a RUTGERS UNIVERSITY   (United States)

^b Columbia University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATE; EXCITED STATE; LARGE TIME DYNAMICS; NONLINEAR OPTICAL SYSTEMS;

ELECTROMAGNETIC DISPERSION; ELECTROMAGNETIC WAVE SCATTERING; NONLINEAR EQUATIONS; NONLINEAR OPTICS; OPTICAL SYSTEMS;

GROUND STATE;

EID: 28844490887     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.213905     Document Type: Article

References (39)

1. J.R. Ensher, Phys. Rev. Lett. 77, 4984 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.4984
2. K.B. Davis, Phys. Rev. Lett. 75, 3969 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969
3. C.C. Bradley, Phys. Rev. Lett. 78, 985 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.985
4. D. Mandelik, Phys. Rev. Lett. 95, 073902 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.073902
5. M. Veda and A.L. Leggett, Phys. Rev. Lett. 80, 1576 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.1576
6. L. Salasnich, Phys. Rev. A 61, 015601 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.015601
7. W.H. Aschbacher, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 43, 3879 (2002). 10.1063/1.1488673
8. E.H. Lieb, Commun. Math. Phys. 224, 17 (2001). CMPHAY 0010-3616 10.1007/s002200100533
9. S.K. Adhikari, Phys. Rev. A 65, 033616 (2002); PLRAAN 1050-2947 10.1103/PhysRevA.65.033616
10. S.K. Adhikari New J. Phys. 5, 137 (2003); NJOPFM 1367-2630 10.1088/1367-2630/5/1/137
11. P. Muruganandam and S.K. Adhikari, J. Phys. B JPAPEH 0953-4075 36, 2501 (2003). 10.1088/0953-4075/36/12/310
12. G.P. Agrawal, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 8, 405 (2002); 10.1109/JSTQE.2002.1016341
13. Nonlinear Optical Materials, edited by, J.V. Moloney, (Springer, New York, 1998).
14. Integrable Systems and Applications, Lecture Notes in Phys. Vol. 342, edited by, M. Balabane. (Springer, New York, 1989).
15. U. Weiss and M. Sassetti, in Microscopic Aspects of Nonlinearity in Condensed Matter, NATO Series B, edited by, A.R. Bishop. (Plenum Press, New York, 1990).
16. A. Soffer and M.I. Weinstein, Rev. Math. Phys. 16, 977 (2004). RMPHEX 0129-055X 10.1142/S0129055X04002175
17. M. Segev, Opt. Lett. 17, 1076 (1992). OPLEDP 0146-9592
18. Y. Kivshar, Phys. Rev. Lett. 80, 5032 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.5032
19. F. Abdullaev, Theory of Solitons in Inhomogeneous Media (Wiley, New York, 1994).
20. A. Soffer, CRM Lecture Notes, Nonlinear Dynamics and Renormalization Group, edited by, I.M. Sigal, and, C. Sulem, (American Mathematical Society, Providence, RI, 2001), Vol. 27.
21. D.F. Walls and G.J. Milburn, Quantum Optics (Springer, New York, 1995).
22. H.A. Rose and M.I. Weinstein, Physica (Amsterdam) 30D, 207 (1988). PDNPDT 0167-2789 10.1016/0167-2789(88)90107-8
23. T.P. Tsai and H.T. Yau, Commun. Partial Differ. Equ. CPDIDZ 0360-5302 27, 2363 (2003); 10.1081/PDE-120016161
24. T.P. Tsai H.T. Yau Int. Math. Res. Not. 1073-7928 2002, No. 31, 1629 (2002). 10.1155/S1073792802201063
25. A. Soffer and M.I. Weinstein, unpublished.
26. A. Soffer and M.I. Weinstein, Inventiones Mathematicae INVMBH 0020-9910 136, 9 (1999). 10.1007/s002220050303
27. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1998).
28. M.I. Weinstein, in Handbook of Dynamical Systems, Extended Hamiltonian Systems Vol. 1B, edited by, B. Hasselblatt, and, A. Katok, (North Holland, Amsterdam, 2005).
29. A. Soffer and M.I. Weinstein, Geom. Funct. Anal. 1016-443X 8, 1086 (1998). 10.1007/s000390050124
30. A. Soffer and M.I. Weinstein, Commun. Math. Phys. CMPHAY 0010-3616 133, 119 (1990). 10.1007/BF02096557
31. V. Buslaev and G. Perelman, Transl.-Am. Math. Soc. 0065-9290 164, 75 (1995);
32. S. Cuccagna, Commun. Pure Appl. Math. CPMAMV 0010-3640 54, 1110 (2001). 10.1002/cpa.1018
33. D.N. Christodoulides and R.I. Joseph, Phys. Rev. Lett. 62, 1746 (1989); PRLTAO 0031-9007 10.1103/PhysRevLett.62.1746
34. A.B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989). PYLAAG 0375-9601 10.1016/0375-9601(89)90441-6
35. M.F. Yanik, Phys. Rev. Lett. 93, 233903 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.233903
36. B.J. Eggleton, J. Opt. Soc. Am. B 14, 2980 (1997); JOBPDE 0740-3224
37. N.G.R. Broderick, Opt. Lett. 25, 536 (2000). OPLEDP 0146-9592
38. R.H. Goodman, J. Opt. Soc. Am. B 19, 1635 (2002); JOBPDE 0740-3224
39. R.H. Goodman, Physica (Amsterdam) 192D, 215 (2004). PDNPDT 0167-2789 10.1016/j.physd.2004.01.021