[1] Bergé L. Wave collapse in physics: principles and applications to light and plasma waves. Physics Reports, 1998, 303(5/6): 259–370

[2] Fibich G, Papanicolaou G. Self-focusing in the perturbed and unperturbed nonlinear Schr¨odinger equation in critical dimension. SIAM J Appl Math, 2000, 60: 183–240

[3] Lakshmanan M, Kanna T, Radhakrishnan R. Shape-changing collisions of coupled bright solitons in birifringent optical fibers. Rep Math Phys, 2000, 46: 143–156

[4] Zakharov V E. Collapse of Langmuir waves. Sov Phys JETP, 1972, 35: 908–914

[5] Cazenave T, Weissler F B. The Cauchy problem for the nonlinear Schr¨odinger equation in H1. Manuscr Math, 1988, 61(4): 477–494

[6] Ginibre J, Velo G. On a class of nonlinear Schr¨odinger equations: 1. The Cauchy problem, general case. J Funct Anal, 1979, 32: 1–32

[7] Kato T. Nonlinear Schr¨odinger equations. Schr¨odinger operators. Lecture Notes in Physics, 1988, 345: 218–263

[8] Ma L, Zhao L. Sharp thresholds of blow-up and global existence for the coupled nonlinear Schr¨odinger system. J Math Phys, 2008, 49: 062103-062103-17

[9] Song X. Sharp thresholds of global existence and blowup for a system of Schr¨odinger equations with combined power-type nonlinearities. J Math Phys, 2010, 51: 033509-033509-21

[10] Akhmediev N, Ankiewicz A. Solitons, nonlinear pulses and beams. London: Chapman and Hall, 1997

[11] Ostrovskaya E A, Kivshar Y S, Skryabin D V, Firth W J. Stability of multihump optical solitons. J Opt B, 1999, (1): 77–83

[12] Tratnik M V, Sipe J E. Bound solitary waves in optical fibers. Phys Rev A, 1988, 38: 2011–2017

[13] Ambrosetti A, Colorado E. Standing waves of some coupled nonlinear Schr¨oinger equations. J LondonMath Soc, 2007, 75: 67–82

[14] Lin T C, Wei J. Ground State of N Coupled Nonlinear Schr¨oinger equations in R³, n ≤3. Comm Math Phys, 2005, 255: 629–653

[15] Maia L, Montefusco E, Pellacci B. Orbital stability property for coupled nonlinear Schr¨odinger equations. Adv Nonlinear Stud, 2010, 10(3): 681–705

[16] Sirakov B. Least energy solitary waves for a system of nonlinear Schr¨odinger equations in RN. Commun Math Phys, 2007, 271: 199–221

[17] Maia L A ,Montefusco E , Pellacci B. Positive solutions for a weakly coupled nonlinear Schr¨odinger system. J Diff Eqns, 2006, 229: 743–767

[18] Cazenave T, Lions P L. Orbital Stability of Standing Waves for Some Nonlinear Schr¨odinger Equations. Commun Math Phys, 1982, 85: 549–561

[19] Grillakis M, Shatah J, Strauss W. Stability theory of solitary waves in the presence of symmetry. I. J Funct Anal, 1987, 74: 160–197

[20] Grillakis M, Shatah J, Strauss W. Stability theory of solitary waves in the presence of symmetry. II. J Funct Anal, 1990, 94: 308–348

[21] Oh Y G. Stability of semiclassical bound states of nonlinear Schr¨odinger equations with potentials. Comm Math Phys, 1989, 121: 69–80

[22] Rose H A,Weinstein M I. On the bound states of the nonlinear Schr¨odinger equation with a linear potential. Phyica D, 1988, 30: 207–218

[23] Shatah J, Strauss W. Instability of nonlinear bound states. Comm Math Phys, 1985, 100: 173–190

[24] Weinstein M I. Nonlinear Schr¨odinger equations and sharp interpolations estimates.Commun Math Phys, 1983, 87: 567–576

[25] Zhang J. Stability of standing waves for the nonlinear Schr¨odinger equations with unbounded potentials. Z Angew Math Phys, 2000, 51: 489–503

[26] Yang J. Classification of the solitary waves in coupled nonlinear Schr¨odinger equations. Physica D, 1997, 108: 92–112

[27] Pelinovsky D E, Yang J. Instabilities of multihump vector solitons in coupled nonlinear Schr¨oinger equations. Stud Appl Math, 2005, 115: 109–137

[28] Lopes O. Stability of solitary waves of some coupled systems. Nonlinearity, 2006, 19: 95–113

[29] Bellazzini J, Visciglia N. On the orbital stability for a class of nonautonomous NLS. arXiv:0901.2233v1