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A relation connecting scale transformation, Galilean transformation and Bäcklund transformation for the nonlinear Schrödinger equation

✍ Scribed by H. Steudel


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
116 KB
Volume
1
Category
Article
ISSN
0167-2789

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Exact solutions for a perturbed nonlinea
✍ Hassan A. Zedan; Seham Sh. Tantawy 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 105 KB 👁 1 views

## Abstract In this paper, the method of deriving the Bäcklund transformation from the Riccati form of inverse method is presented for the perturbed nonlinear Schrödinger equation (PNSE). Consequently, the exact solutions for the PNSE can be obtained by the AKNS class. The technique developed relie