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Rogue waves and rational solutions of the nonlinear Schrödinger equation

✍ Scribed by Akhmediev, Nail; Ankiewicz, Adrian; Soto-Crespo, J.

Book ID
115450191
Publisher
The American Physical Society
Year
2009
Tongue
English
Weight
969 KB
Volume
80
Category
Article
ISSN
1063-651X

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Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions
✍ Guo, Boling; Ling, Liming; Liu, Q. P. 📂 Article 📅 2012 🏛 The American Physical Society 🌐 English ⚖ 332 KB

In this paper, we construct a generalized Darboux transformation for the nonlinear Schrödinger equation. The associated N -fold Darboux transformation is given in terms of both a summation formula and determinants. As applications, we obtain compact representations for the N th-order rogue wave solu