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Stability of plane wave solutions of the two-space-dimensional nonlinear Schrödinger equation

✍ Scribed by David U. Martin; H.C. Yuen; Philip G. Saffman


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
907 KB
Volume
2
Category
Article
ISSN
0165-2125

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📜 SIMILAR VOLUMES


Erratum: Stabilization of solutions to n
✍ Scipio Cuccagna 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 25 KB 👁 1 views

The proof of lemma 5.2 in [1] contains several mistakes. Nevertheless, the statement is correct and is proven in an elementary fashion, correctly this time, in [3, lemma 2.4], which is in this issue of the journal. In the proof of corollary 3.2 in [1], we misquoted from Kato's textbook on perturbat

Homoclinic connections of unstable plane
✍ O.C. Wright 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 423 KB

The modified nonlinear Schr€ o odinger (MNLS) equation is a model equation for the propagation of ultra-fast pulses in long-haul optical fiber transmission systems. Here we identify the linearized instabilities of plane wave solutions to both the defocusing and the focusing MNLS equation. Extending