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Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet
Quantum Gases (cond-mat.quant-gas) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Potential scattering problems governed by the time dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have t...
Involutivity of integrals for sine-Gordon, modified KdV and potential KdV maps
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Closed form expressions in terms of multi-sums of products have been given for integrals of sine-Gordon, modi?ed Korteweg-de Vries and potential Korteweg-de Vries maps obtained as (p,-1)-traveling wav...