Solitary Waves for One-Dimensional Nematicon Equations
Document Type
Article
Publication Date
2-28-2019
Publication Title
Journal of Mathematical Analysis and Applications
Volume
475
Issue
1
First page number:
686
Last page number:
698
Abstract
In this paper, we study the one-dimensional nematicon equations which model the propagation of coherent and polarized light in nonlocal nematic liquid crystals. The existences of local and global solutions are derived first upon applying the Strichartz's estimates. Then the existence of ground state solitary wave solutions is proved by using the concentration-compactness technique and the critical point theory.
Keywords
Ground states; Nematicon equations; Solitary waves
Disciplines
Applied Mathematics
Language
English
Repository Citation
Zhang, G.,
Song, N.,
Ding, Z.
(2019).
Solitary Waves for One-Dimensional Nematicon Equations.
Journal of Mathematical Analysis and Applications, 475(1),
686-698.
http://dx.doi.org/10.1016/j.jmaa.2019.02.063
