Solitary waves for one-dimensional nematicon equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Zhang, Guoqing¹  Song, Ningning¹  Ding, Zhonghai² 

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Univ Nevada Las Vegas, Dept Math Sci, Las Vegas, NV 89154 USA

关键词: Solitary waves;    Nematicon equations;    Ground states;   

DOI  :  10.1016/j.jmaa.2019.02.063

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free