A numerical and symbolical approximation of the Nonlinear Anderson Model

Yevgeny Krivolapov; Shmuel Fishman; Avy Soffer

doi:10.1088/1367-2630/12/6/063035

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arXiv · 0912.3906

A numerical and symbolical approximation of the Nonlinear Anderson Model

Yevgeny Krivolapov·Shmuel Fishman·Avy Soffer

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Abstract

A modified perturbation theory in the strength of the nonlinear term is used to solve the Nonlinear Schroedinger Equation with a random potential. It is demonstrated that in some cases it is more efficient than other methods. Moreover we obtain error estimates. This approach can be useful for the solution of other nonlinear differential equations of physical relevance.

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Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer. 2009-12-19. A numerical and symbolical approximation of the Nonlinear Anderson Model. https://doi.org/10.1088/1367-2630%2F12%2F6%2F063035

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