A direct method for generating rogue wave solutions to the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation

Xiangyu Yang; Zhao Zhang; Abdul Majid Wazwaz; Zhen Wang

doi:10.1016/j.physleta.2022.128355

A direct method for generating rogue wave solutions to the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation

Xiangyu Yang
, Zhao Zhang
, Abdul Majid Wazwaz
, Zhen Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

In this paper, we provide a generating mechanism to obtain rogue wave solutions from N soliton of Hirota's bilinear method. Based on the long wave limit method, the phase parameters are reconstructed to generating rogue wave solutions of Korteweg–de Vries Benjamin-Bona-Mahony equation. The rogue wave solutions are expressed explicitly in rational forms. Besides fundamental pattern of rogue waves, the triangle or pentagon pattern have been revealed. Both types of triangle and pentagon patterns are resolved upon different choices of free parameters introduced.

Original language	English
Article number	128355
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	449
DOIs	https://doi.org/10.1016/j.physleta.2022.128355
State	Published - 14 Oct 2022
Externally published	Yes

Keywords

Hirota bilinear method
KdV-BBM equation
Rogue wave
Soliton

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10.1016/j.physleta.2022.128355

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@article{a83fc91500e14454a992ec8ba4126394,

title = "A direct method for generating rogue wave solutions to the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation",

abstract = "In this paper, we provide a generating mechanism to obtain rogue wave solutions from N soliton of Hirota's bilinear method. Based on the long wave limit method, the phase parameters are reconstructed to generating rogue wave solutions of Korteweg–de Vries Benjamin-Bona-Mahony equation. The rogue wave solutions are expressed explicitly in rational forms. Besides fundamental pattern of rogue waves, the triangle or pentagon pattern have been revealed. Both types of triangle and pentagon patterns are resolved upon different choices of free parameters introduced.",

keywords = "Hirota bilinear method, KdV-BBM equation, Rogue wave, Soliton",

author = "Xiangyu Yang and Zhao Zhang and Wazwaz, \{Abdul Majid\} and Zhen Wang",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

year = "2022",

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doi = "10.1016/j.physleta.2022.128355",

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T1 - A direct method for generating rogue wave solutions to the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation

AU - Yang, Xiangyu

AU - Zhang, Zhao

AU - Wazwaz, Abdul Majid

AU - Wang, Zhen

PY - 2022/10/14

Y1 - 2022/10/14

N2 - In this paper, we provide a generating mechanism to obtain rogue wave solutions from N soliton of Hirota's bilinear method. Based on the long wave limit method, the phase parameters are reconstructed to generating rogue wave solutions of Korteweg–de Vries Benjamin-Bona-Mahony equation. The rogue wave solutions are expressed explicitly in rational forms. Besides fundamental pattern of rogue waves, the triangle or pentagon pattern have been revealed. Both types of triangle and pentagon patterns are resolved upon different choices of free parameters introduced.

AB - In this paper, we provide a generating mechanism to obtain rogue wave solutions from N soliton of Hirota's bilinear method. Based on the long wave limit method, the phase parameters are reconstructed to generating rogue wave solutions of Korteweg–de Vries Benjamin-Bona-Mahony equation. The rogue wave solutions are expressed explicitly in rational forms. Besides fundamental pattern of rogue waves, the triangle or pentagon pattern have been revealed. Both types of triangle and pentagon patterns are resolved upon different choices of free parameters introduced.

KW - Hirota bilinear method

KW - KdV-BBM equation

KW - Rogue wave

KW - Soliton

UR - https://www.scopus.com/pages/publications/85135923999

U2 - 10.1016/j.physleta.2022.128355

DO - 10.1016/j.physleta.2022.128355

M3 - 文章

AN - SCOPUS:85135923999

SN - 0375-9601

VL - 449

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 128355

ER -

A direct method for generating rogue wave solutions to the (3+1)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation

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Keywords

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