Smooth solutions for a class of fully nonlinear Schrödinger type equations
✍ Scribed by Markus Poppenberg
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 170 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We consider the nonlinear Schro dinger equation in dimension one with a nonlinearity concentrated in a finite number of points. Detailed results on the local existence of the solution in fractional Sobolev spaces H \ are given. We also prove the conservation of the L 2 -norm and the energy of the so
method a b s t r a c t Although, many exact solutions were obtained for the cubic Schrödinger equation by many researchers, we obtained in this research not only more exact solutions but also new types of exact solutions in terms of Jacobi-elliptic functions and Weierstrass-elliptic function.