We present three results on the scattering of solutions for the almost cubic nonlinear Schrödinger equations. When initial datum has a small X p -norm, the solutions scatter in L 2 , when the initial datum is in H s with a small L 2 -norm with 0 ≤ s ≤ 1 then they scatter in H s . Finally, whenever w
Further regularity results for almost cubic nonlinear Schrödinger equation
✍ Scribed by S. Demirbaş; A. Eden; E. Kuz
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 502 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po