NUMERICAL SOLUTIONS FOR ONE AND TWO DIMENSIONAL NONLINEAR PROBLEMS RELATED TO DISPERSION MANAGED SOLITONS
- 주제(키워드) 도움말 Schrodinger equation , numerical solution , eigenvalue problem
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
We study behavior of numerical solutions for a nonlinear eigenvalue problem on R-n that is reduced from a dispersion managed nonlinear Schrodinger equation. The solution operator of the free Schrodinger equation in the eigenvalue problem is implemented via the finite difference scheme, and the primary nonlinear eigenvalue problem is numerically solved via Picard iteration. Through numerical simulations, the results known only theoretically, for example the number of eigenpairs for one dimensional problem, are verified. Furthermore several new characteristics of the eigenpairs, including the existence of eigenpairs inherent in zero average dispersion two dimensional problem, are observed and analyzed.
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