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On multi-solitons for coupled lowest Landau level equations

Abstract : We consider a coupled system of nonlinear Lowest Landau Level equations. We first show the existence of multi-solitons with an exponentially localised error term in space, and then we prove a uniqueness result. We also show a long time stability result of the sum of traveling waves having all the same speed, under the condition that they are localised far away enough from each other. Finally, we observe that these multi-solitons provide examples of dynamics for the linear Schrödinger equation with harmonic potential perturbed by a time-dependent potential.
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https://hal.archives-ouvertes.fr/hal-03419797
Contributor : Laurent Thomann Connect in order to contact the contributor
Submitted on : Tuesday, May 24, 2022 - 11:17:35 AM
Last modification on : Monday, May 30, 2022 - 11:41:42 AM

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Multisolitons-LLL-revised.pdf
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  • HAL Id : hal-03419797, version 2
  • ARXIV : 2111.05035

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Laurent Thomann. On multi-solitons for coupled lowest Landau level equations. 2021. ⟨hal-03419797v2⟩

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