Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation

Zhengwu Miao; Xiaorui Hu; Yong Chen

doi:10.1016/j.aml.2020.106722

Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation

Zhengwu Miao
, Xiaorui Hu^*
, Yong Chen

^*Corresponding author for this work

School of Mathematical Sciences

Zhejiang University of Technology

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

25 Scopus citations

Abstract

The paper aims to explore the existence of diverse lump and interaction solutions to the (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation. Through the Cole–Hopf transformation with the nonzero seed solution, the remarkable richness of exact solutions are exhibited, including lump, lump-periodic, lump-multiple solitary wave and periodic-multiple solitary wave. Some specific interaction phenomena are analyzed by the limit behavior. The generated rogue wave, half periodic kink (HPK) and breather-like solutions are displayed by some visual figures, respectively.

Original language	English
Article number	106722
Journal	Applied Mathematics Letters
Volume	112
DOIs	https://doi.org/10.1016/j.aml.2020.106722
State	Published - Feb 2021

Keywords

Fissions and fusions
Lump
Rogue wave
Sharma–Tasso–Olver–Burgers equation

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10.1016/j.aml.2020.106722

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title = "Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation",

abstract = "The paper aims to explore the existence of diverse lump and interaction solutions to the (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation. Through the Cole–Hopf transformation with the nonzero seed solution, the remarkable richness of exact solutions are exhibited, including lump, lump-periodic, lump-multiple solitary wave and periodic-multiple solitary wave. Some specific interaction phenomena are analyzed by the limit behavior. The generated rogue wave, half periodic kink (HPK) and breather-like solutions are displayed by some visual figures, respectively.",

keywords = "Fissions and fusions, Lump, Rogue wave, Sharma–Tasso–Olver–Burgers equation",

author = "Zhengwu Miao and Xiaorui Hu and Yong Chen",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2021",

month = feb,

doi = "10.1016/j.aml.2020.106722",

language = "英语",

volume = "112",

journal = "Applied Mathematics Letters",

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TY - JOUR

T1 - Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation

AU - Miao, Zhengwu

AU - Hu, Xiaorui

AU - Chen, Yong

PY - 2021/2

Y1 - 2021/2

N2 - The paper aims to explore the existence of diverse lump and interaction solutions to the (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation. Through the Cole–Hopf transformation with the nonzero seed solution, the remarkable richness of exact solutions are exhibited, including lump, lump-periodic, lump-multiple solitary wave and periodic-multiple solitary wave. Some specific interaction phenomena are analyzed by the limit behavior. The generated rogue wave, half periodic kink (HPK) and breather-like solutions are displayed by some visual figures, respectively.

AB - The paper aims to explore the existence of diverse lump and interaction solutions to the (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation. Through the Cole–Hopf transformation with the nonzero seed solution, the remarkable richness of exact solutions are exhibited, including lump, lump-periodic, lump-multiple solitary wave and periodic-multiple solitary wave. Some specific interaction phenomena are analyzed by the limit behavior. The generated rogue wave, half periodic kink (HPK) and breather-like solutions are displayed by some visual figures, respectively.

KW - Fissions and fusions

KW - Lump

KW - Rogue wave

KW - Sharma–Tasso–Olver–Burgers equation

UR - https://www.scopus.com/pages/publications/85090046269

U2 - 10.1016/j.aml.2020.106722

DO - 10.1016/j.aml.2020.106722

M3 - 文章

AN - SCOPUS:85090046269

SN - 0893-9659

VL - 112

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106722

ER -

Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation

Abstract

Keywords

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