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Strong Instability of Solitary Waves for Inhomogeneous Nonlinear Schrödinger Equations
  • chenglin Wang,
  • Jian Zhang
chenglin Wang
University of Electronic Science and Technology of China
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Jian Zhang
University of Electronic Science and Technology of China
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Abstract

This paper studies the inhomogeneous nonlinear Schrödinger equations, which may model the propagation of laser beams in nonlinear optics. Using the cross-constrained variational method, a sharp condition for global existence is derived. Then, by solving a variational problem, the strong instability of solitary waves of this equation is proved.

Peer review status:UNDER REVIEW

05 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
05 Mar 2021Assigned to Editor
05 Mar 2021Submission Checks Completed
13 Mar 2021Reviewer(s) Assigned