Computing wave functions of nonlinear Schrödinger equations: a time-independent approach (Q2456681)
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| English | Computing wave functions of nonlinear Schrödinger equations: a time-independent approach |
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Computing wave functions of nonlinear Schrödinger equations: a time-independent approach (English)
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19 October 2007
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The authors propose a continuation method for the calculation of eigenfunctions for a system of coupled Schrödinger equations with quadratic potential and cubic nonlinearities, the Gross-Pitaevskii equations, on the unit disc. The continuation starts at the bifurcation given by an eigenvalue of the corresponding linear problem, and it proceeds by varying the chemical potential.
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continuation
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Gross-Pitaevskii equation
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Bose-Einstein condensates
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wave functions
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Liapunov-Schmidt reduction
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centered difference method
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eigenfunctions
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Schrödinger equations
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bifurcation
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