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Existence and orbital stability of standing waves for the 1D Schrodinger-Kirchhoff equation

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 نشر من قبل Fabio Natali
 تاريخ النشر 2020
  مجال البحث
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In this paper we establish the orbital stability of standing wave solutions associated to the one-dimensional Schrodinger-Kirchhoff equation. The presence of a mixed term gives us more dispersion, and consequently, a different scenario for the stability of solitary waves in contrast with the corresponding nonlinear Schrodinger equation. For periodic waves, we exhibit two explicit solutions and prove the orbital stability in the energy space.



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