Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation

Under investigation in this work is a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of Bell’s polynomials, an effective and straightforward way is presented to explicitly construct its bilinear form and soliton...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics letters 2017-10, Vol.72, p.58-64
Main Authors: Wang, Xiu-Bin, Tian, Shou-Fu, Qin, Chun-Yan, Zhang, Tian-Tian
Format: Article
Language:English
Subjects:
A generalized ([formula omitted])-dimensional Kadomtsev– Petviashvili equation
Bilinear form
Breather waves
Rogue waves
Solitary waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Under investigation in this work is a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of Bell’s polynomials, an effective and straightforward way is presented to explicitly construct its bilinear form and soliton solutions. Furthermore, based on the bilinear formalism, a direct method is employed to explicitly construct its rogue wave solutions with an ansätz function. Finally, the interaction phenomena between rogue waves and solitary waves are presented with a detailed derivation. The results can be used to enrich the dynamical behavior of higher dimensional nonlinear wave fields.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2017.04.009