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Paper   IPM / Physic / 7889
School of Physics
  Title:   On Symmetry Properties of Nonlinear Schrodinger Equations with Potentials
1.  N. M. Ivanova
2.  R. O. Popovych
3.  H. Eshraghi
  Status:   In Proceedings
  Proceeding: Proceedings of Summer School in Modern Mathematical Physics(20-31 August,2004, Zlatibor, Serbia and Montenegro), Sveske Fiz. Nauka, 2005, V.18(A1), 451-456
  Year:  2005
  Supported by:  IPM
As an example of using the notion of normalized classes to investigate symmetry properties of differential equations, we completely solve the group classification problem in the class of (1+1)-dimentional nonlinear Schr?dinger equations iψtxx+ | ψ | γψ+ V(t,x)ψ = 0, where γ is a real non-zero constant and V is an arbitrary complex-valued potential depending on t and x.

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