Rogue Waves in the Three-Dimensional Kadomtsev-Petviashvili Equation

Breathers and rogue waves as exact solutions of the three-dimensional Kadomtsev Petviashvili equation are obtained via the bilinear transformation method. The breathers in three dimensions possess different dynamics in different planes, such as growing and decaying periodic line waves in the （x, y）,...

Full description

Saved in:
Bibliographic Details
Published inChinese physics letters Vol. 33; no. 11; pp. 1 - 4
Main Author 钱超 饶继光 刘尧彬 贺劲松
Format Journal Article
LanguageEnglish
Published 01.11.2016
Subjects
三维
双线性变换法
呼吸波
平面
方程
无限大
精确解
配置文件
Online AccessGet full text
ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/33/11/110201

Cover

More Information
Summary:Breathers and rogue waves as exact solutions of the three-dimensional Kadomtsev Petviashvili equation are obtained via the bilinear transformation method. The breathers in three dimensions possess different dynamics in different planes, such as growing and decaying periodic line waves in the （x, y）, （x, z） and （y, t） planes. Rogue waves are localized in time, and are obtained theoretically as a long wave limit of breathers with indefinitely larger periods. It is shown that the rogue waves possess growing and decaying line profiles in the （x, y） or （x, z） plane, which arise from a constant background and then retreat back to the same background again.
Bibliography:Breathers and rogue waves as exact solutions of the three-dimensional Kadomtsev Petviashvili equation are obtained via the bilinear transformation method. The breathers in three dimensions possess different dynamics in different planes, such as growing and decaying periodic line waves in the （x, y）, （x, z） and （y, t） planes. Rogue waves are localized in time, and are obtained theoretically as a long wave limit of breathers with indefinitely larger periods. It is shown that the rogue waves possess growing and decaying line profiles in the （x, y） or （x, z） plane, which arise from a constant background and then retreat back to the same background again.
11-1959/O4
Chao Qian, Ji-Guang Rao, Yao-Bin Liu, Jing-Song He（Department of Mathematics, Ningbo University, Ningbo 315211）
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/33/11/110201