# Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation

Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation A periodically breather solitary wave and some lump solutions are obtained via using Hirota’s bilinear method, homoclinic test approach and parameter perturbation technique for the (1 + 1)-dimensional Benjamin–Ono equation. Spatiotemporal dynamics of lump solution is investigated and discussed by choice of some parameters $$u_{0}, \beta ,$$ u 0 , β , and $$\gamma$$ γ . Finally, spatiotemporal structure of lump solution is analyzed using the extreme value theory of multivariable function. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

# Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation

, Volume 89 (4) – Jul 1, 2017
6 pages

/lp/springer_journal/spatiotemporal-dynamics-of-lump-solution-to-the-1-1-dimensional-tJrcvB4Ahz
Publisher
Springer Netherlands
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-017-3620-0
Publisher site
See Article on Publisher Site

### Abstract

A periodically breather solitary wave and some lump solutions are obtained via using Hirota’s bilinear method, homoclinic test approach and parameter perturbation technique for the (1 + 1)-dimensional Benjamin–Ono equation. Spatiotemporal dynamics of lump solution is investigated and discussed by choice of some parameters $$u_{0}, \beta ,$$ u 0 , β , and $$\gamma$$ γ . Finally, spatiotemporal structure of lump solution is analyzed using the extreme value theory of multivariable function.

### Journal

Nonlinear DynamicsSpringer Journals

Published: Jul 1, 2017

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly ### Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. ### Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve ### Freelancer DeepDyve ### Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations