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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… Click to show full 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.
Keywords:
instability solitary;
nonlinear schr;
strong instability;
inhomogeneous nonlinear;
dinger equations;
schr dinger
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
Link to full text (if available)
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recommendations!