Effective Dynamics for N-Solitons of the Gross-Pitaevskii Equation

Abstract

We consider several solitons moving in a slowly varying external field. We present results of numerical computations which indicate that the effective dynamics obtained by restricting the full Hamiltonian to the finite-dimensional manifold of N solitons (constructed when no external field is present) provides a remarkably good approximation to the actual… (More)
DOI: 10.1007/s00332-011-9120-3

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Cite this paper

@article{Potter2012EffectiveDF, title={Effective Dynamics for N-Solitons of the Gross-Pitaevskii Equation}, author={Trevor Potter}, journal={J. Nonlinear Science}, year={2012}, volume={22}, pages={351-370} }