Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
✍ Scribed by Chunxiong Zheng
- Book ID
- 108164018
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 678 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0021-9991
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📜 SIMILAR VOLUMES
## We present a fast algorithm for the evaluation of the exact nonreflecting boundary conditions for the SchrSdinger equation in one dimension. The exact nonrefleeting boundary condition contains a nonloeal term which is a convolution integral in time, with a kernel proportional to 1/v~. The key
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.