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Lattice solitons on a standing carrier wave

✍ Scribed by Yuri S. Kivshar; Sergei K. Turitsyn


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
472 KB
Volume
171
Category
Article
ISSN
0375-9601

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A remark on linearly unstable standing w
✍ Tetsu Mizumachi πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 226 KB

We obtain an optimal growth estimate of a semigroup generated by a linearized operator around a standing wave solution nonlinear SchrΓΆdinger equations in two-dimension. Using the growth estimate of the semigroup, we prove that a linearly unstable standing wave solution is orbitally unstable and that