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Approximate rogue wave solutions of the forced and damped nonlinear Schrödinger equation for water waves

✍ Scribed by Miguel Onorato; Davide Proment

Book ID
118054279
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
214 KB
Volume
376
Category
Article
ISSN
0375-9601

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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