Title

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

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