Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation

被引：80

作者：

Xu, Z. X. ^{[1
]}

Chow, K. W. ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 56卷

关键词：

Nonlocal evolution equations; Rogue waves; SOLITON SOLUTIONS; MEDIA;

D O I：

10.1016/j.aml.2015.12.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Breathers and rogue waves as exact solutions of a nonlocal partial differential equation of the third order are derived by a bilinear transformation. Breathers denote families of pulsating modes and can occur for both continuous and discrete systems. Rogue waves are localized in both space and time, and are obtained theoretically as a limiting case of breathers with indefinitely large periods. Both entities are demonstrated analytically to exist for special classes of nonlocal equations relevant to optical waveguides. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：72 / 77

页数：6