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Al-Marzoug SM, Al-Amoudi SM, Al Khawaja U, et al. Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential. Phys Rev E Stat Nonlin Soft Matter Phys. 2011;83(2):026603doi: 10.1103/PhysRevE.83.026603.
Al-Marzoug, S. M., Al-Amoudi, S. M., Al Khawaja, U., Bahlouli, H., & Baizakov, B. B. (2011). Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential. Physical review. E, Statistical, nonlinear, and soft matter physics, 83(2), 026603. https://doi.org/10.1103/PhysRevE.83.026603
Al-Marzoug, S M, et al. "Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 83,2 (2011): 026603. doi: https://doi.org/10.1103/PhysRevE.83.026603
Al-Marzoug SM, Al-Amoudi SM, Al Khawaja U, Bahlouli H, Baizakov BB. Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Feb;83(2):026603. doi: 10.1103/PhysRevE.83.026603. Epub 2011 Feb 24. PMID: 21405920.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Feb;83(2):026603. doi: 10.1103/PhysRevE.83.026603. Epub 2011 Feb 24.

Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential.

Physical review. E, Statistical, nonlinear, and soft matter physics

S M Al-Marzoug, S M Al-Amoudi, U Al Khawaja, H Bahlouli, B B Baizakov

Affiliations

  1. Department of Physics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.

PMID: 21405920 DOI: 10.1103/PhysRevE.83.026603

Abstract

Scattering of a matter-wave single soliton and two-soliton molecule incident on the modified Pöschl-Teller potential well has been studied by means of a collective coordinate approach and numerical simulations of the Gross-Pitaevskii equation. Despite the attractive nature of the potential we observe total reflection of solitons in particular ranges of parameters, which is the signature of quantum behavior displayed by the matter-wave soliton. For other particular sets of parameters unscathed transmission of solitons and molecules through the potential well has been identified. A specific feature of this process is that the soliton passing through the potential well overtakes the freely propagating counterpart; i.e., its mean position appears to have been advanced in time. An array of such potentials makes the "time advance" effect even more pronounced, so that scattered solitons move well ahead of nonscattered ones, fully preserving their initial shape and velocity. A possible application of the obtained results is pointed out.

©2011 American Physical Society

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