期刊
WAVES IN RANDOM AND COMPLEX MEDIA
卷 31, 期 1, 页码 46-56出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17455030.2018.1560515
关键词
(4+1)-dimensional Fokas equation; Hirota bilinear method; multiple-soliton solutions; multiple-complex soliton solutions; dispersion relations
This study investigates the integrable nonlinear (4+1)-dimensional Fokas equation using the simplified Hirota's method, revealing multiple soliton and complex soliton solutions, and confirming integrability through the Painlev'e integrability in the sense of WTC method. The results show that each set of multiple soliton solutions has a distinct physical structure.
In this work, we study the integrable nonlinear (4+1)-dimensional Fokas equation. By means of systematic use of the simplified Hirota's method, we demonstrate the generation of a variety of multiple-soliton solutions, and also multiple-complex soliton solutions, for this equation. We show that the set of multiple-soliton solutions is not unique, and each set is characterized by distinct dispersion relation, distinct transformation, and hence distinct physical structure. We confirm the integrability of this equation by showing it possesses the Painlev'e integrability in the sense of WTC method. Besides, some other solitonic, singular, and periodic solutions are given by using hyperbolic and trigonometric ansatze.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据