Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053846 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
The (2+1)-dimensional [(2+1)d] Fokas system is a natural and simple extension of the nonlinear Schrödinger equation (see Eq. (2) in Fokas, 1994). In this letter, we introduce its PT-symmetric version, which is called the (2+1)d nonlocal Fokas system. The N-soliton solutions for this system are obtained by using the Hirota bilinear method whereas the semi-rational solutions are generated by taking the long-wave limit of a part of exponential functions in the general expression of the N-soliton solution. Three kinds of semi-rational solutions, namely (1) a hybrid of rogue waves and periodic line waves, (2) a hybrid of lump and breather solutions, and (3) a hybrid of lump, breather, and periodic line waves are put forward and their rather complicated dynamics is revealed.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yulei Cao, Jiguang Rao, Dumitru Mihalache, Jingsong He,