TY - JOUR
T1 - A numerical and symbolical approximation of the nonlinear Anderson model
AU - Krivolapov, Yevgeny
AU - Fishman, Shmuel
AU - Soffer, Avy
PY - 2010/6/30
Y1 - 2010/6/30
N2 - A modified perturbation theory, with regard to the strength of the nonlinear term, is developed to solve the nonlinear Schrödinger equation with a random potential. It is demonstrated that in some cases it is substantially more efficient than other methods. Moreover, we obtain error estimates that are explicitly computable within the theory. This approach can be useful for the solution of other nonlinear differential equations of physical relevance.
AB - A modified perturbation theory, with regard to the strength of the nonlinear term, is developed to solve the nonlinear Schrödinger equation with a random potential. It is demonstrated that in some cases it is substantially more efficient than other methods. Moreover, we obtain error estimates that are explicitly computable within the theory. This approach can be useful for the solution of other nonlinear differential equations of physical relevance.
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U2 - 10.1088/1367-2630/12/6/063035
DO - 10.1088/1367-2630/12/6/063035
M3 - Article
AN - SCOPUS:77955084709
VL - 12
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
M1 - 063035
ER -