Nonlinear Schrödinger equations

• On a bifurcation value related to quasi-linear Schrödinger equations,
  M. Caliari and M. Squassina
  Accepted on J. Fix. Point Theory A. (2012)
  BibTeX entry: CS12
  
  
• Numerical computation of soliton dynamics for NLS equations in a driving potential,
  M. Caliari and M. Squassina
  Electron. J. Diff. Eqns. (2010)
  BibTeX entry: CS10
  
  
• Spectral methods for dissipative nonlinear Schrödinger equations,
  M. Caliari, L. M. Morato, and S. Zuccher;
  Research report of the Department of Computer Science (76/2009)
  
  
• Cubic Nonlinear Schrödinger Equation with vorticity,
  M. Caliari, M. I. Loffredo, L. M. Morato, and S. Zuccher;
  New J. Phys. (2008)
  BibTeX entry: CLMZ08
  
  
• High-order time-splitting Hermite and Fourier spectral methods for the Gross–Pitaevskii equation,
  M. Thalhammer, M. Caliari, and Ch. Neuhauser;
  J. Comput. Phys. (2009)
  BibTeX entry: CNT09
  
  
• A minimisation approach for computing the ground state of Gross–Pitaevskii systems,
  M. Caliari, A. Ostermann, S. Rainer, and M. Thalhammer;
  J. Comput. Phys. (2009)
  BibTeX entry: CORT09
  Related software: GSGPE
  
  
• Spatial patterns for the three species Gross–Pitaevskii system in the plane,
  M. Caliari and M. Squassina;
  Electron. J. Diff. Eqns. (2008)
  BibTeX entry: CS082
  
  
• Convergence and energy conservation of the Strang time-splitting Hermite spectral method for nonlinear Schrödinger equations,
  M. Caliari, G. Kirchner, and M. Thalhammer;
  Submitted (2007)
  BibTeX entry: CKT07
  
  
• Location and phase segregation of ground and excited states for 2D Gross–Pitaevskii systems,
  M. Caliari and M. Squassina;
  Dyn. Partial Differ. Equ. (2008)
  BibTeX entry: CS08
  
  
• Dissipation caused by a vorticity field and generation of sigularities in Madelung fluid,
  M. Caliari, G. Inverso, and L. M. Morato;
  New J. Phys. (2004)
  BibTeX entry: CIM04