Existence of solitary waves in dipolar quantum gases

[1]  Weizhu Bao,et al.  Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions , 2010, 1006.4950.

[2]  Hanquan Wang,et al.  Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates , 2010, J. Comput. Phys..

[3]  B. Malomed,et al.  Two-dimensional discrete solitons in dipolar Bose-Einstein condensates , 2009, 0912.1470.

[4]  B. Malomed,et al.  Solitons in the Tonks–Girardeau gas with dipolar interactions , 2009, 0907.3172.

[5]  M. Lewenstein,et al.  The physics of dipolar bosonic quantum gases , 2009, 0905.0386.

[6]  Christof Sparber,et al.  On the Gross–Pitaevskii equation for trapped dipolar quantum gases , 2008, 0805.0716.

[7]  J. Garnier,et al.  Bright solitons in Bose-Einstein condensates , 2008 .

[8]  Luis Santos,et al.  Soliton-soliton scattering in dipolar Bose-Einstein condensates , 2007 .

[9]  A. Eden,et al.  Standing waves for a generalized Davey-Stewartson system , 2006 .

[10]  L. Santos,et al.  Two-dimensional bright solitons in dipolar Bose-Einstein condensates , 2005, EQEC '05. European Quantum Electronics Conference, 2005..

[11]  Marion Kee,et al.  Analysis , 2004, Machine Translation.

[12]  T. Cazenave.  Semilinear Schrodinger Equations , 2003 .

[13]  P. Lushnikov.  Collapse of Bose-Einstein condensates with dipole-dipole interactions , 2002, cond-mat/0208312.

[14]  L. You,et al.  Trapped condensates of atoms with dipole interactions , 2000, cond-mat/0005054.

[15]  Santos,et al.  Bose-einstein condensation in trapped dipolar gases , 2000, Physical review letters.

[16]  L. You,et al.  Trapped atomic condensates with anisotropic interactions , 2000, cond-mat/0002079.

[17]  E. Lieb,et al.  Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional , 1999, math-ph/9908027.

[18]  S. Burger,et al.  Dark solitons in Bose-Einstein condensates , 1999, QELS 2000.

[19]  T. Tao,et al.  Endpoint Strichartz estimates , 1998 .

[20]  P. Lions,et al.  Elliptic equations and Steiner symmetrization , 1996 .

[21]  C. Wieman,et al.  Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor , 1995, Science.

[22]  George Papanicolaou,et al.  The focusing singularity of the Davey-Stewartson equations for gravity-capillary surface waves , 1994 .

[23]  R. Cipolatti.  On the existence of standing waves for a davey–stewartson system , 1992 .

[24]  M. Weinstein.  Nonlinear Schrödinger equations and sharp interpolation estimates , 1983 .

[25]  Elliott H. Lieb,et al.  On the lowest eigenvalue of the Laplacian for the intersection of two domains , 1983 .

[26]  Elliott H. Lieb,et al.  A Relation Between Pointwise Convergence of Functions and Convergence of Functionals , 1983 .

[27]  B. Gidas,et al.  Symmetry and related properties via the maximum principle , 1979 .

[28]  R. Glassey.  On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations , 1977 .

[29]  Walter A. Strauss,et al.  Existence of solitary waves in higher dimensions , 1977 .