On existence of dispersion management solitons for power-law nonlinearities
- 발행기관 서강대학교 일반대학원
- 지도교수 이영란
- 발행년도 2017
- 학위수여년월 2017. 8
- 학위명 박사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000062160
- 본문언어 한국어
- 저작권 서강대학교 논문은 저작권보호를 받습니다.
초록/요약
We consider the dispersion management nonlinear Schrodinger equation with power-law nonlinearities. Its ground state can be found as minimizers of nonlocal nonlinear constrained variational problem. If 2 < \gamma< 6 and dav>=0, then we show the existence of minimizers for the constrained minimization problem. For dav > 0 and 6 <=\gamma< 10, we further prove that there is a critical threshold for a power of solitons such that the existence of minimizers depends only on crossing such a critical threshold. Moreover, we show that the existing minimizer is smooth in the case of dav > 0 and \gamma=4,6,8.
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