Rogue Wave for the Benjamin Ono Equation - Advances in Pure Mathematics

APM > Vol.5 No.2, February 2015

Advances in Pure Mathematics

Volume 5, Issue 2 (February 2015)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

Rogue Wave for the Benjamin Ono Equation ()

HTML XML

Download as PDF (Size: 1207KB) PP. 82-87

DOI: 10.4236/apm.2015.52010 3,320 Downloads 4,518 Views Citations

Author(s)

Lili Song^1*, Wei Chen¹, Zhenhui Xu², Hanlin Chen¹

Affiliation(s)

¹School of Science, Southwest University of Science and Technology, Mianyang, China.
²Applied Technology College, Southwest University of Science and Technology, Mianyang, China.

ABSTRACT

In the paper, the homoclinic (hateroclinic) breather limit method (HBLM) is applied to seek rogue wave solution of the Benjamin Ono equation. We find that the rational breather wave solution is just a rogue wave solution. This result shows that rogue wave can come from the extreme behavior of the breather solitary wave for (1+1)-dimensional nonlinear wave fields.

KEYWORDS

Benjamin Ono Equation, Extended Homoclinic Test Method, Homoclinic (Hateroclinic) Breather Limit Method, Rogue Wave Solution

Share and Cite:

Song, L. , Chen, W. , Xu, Z. and Chen, H. (2015) Rogue Wave for the Benjamin Ono Equation. Advances in Pure Mathematics, 5, 82-87. doi: 10.4236/apm.2015.52010.

Cited by

[1]	On the Exact Solitary Wave Solutions to the New () and ()-Dimensional Extensions of the Benjamin-Ono Equations
	2021

[2]	Dark parameterization approach to the Benjamin–Ono equation
	2020

[3]	On the new extensions to the Benjamin-Ono equation
	2020

[4]	A CLASS OF LUMP SOLUTIONS FOR ITO EQUATION.
	2019

[5]	A class of lump solutions for ito equation
	2019

[6]	Nonlocal symmetries and interaction solutions of the Benjamin–Ono equation
	Applied Mathematics Letters, 2018

[7]	On the integrability and Riemann theta functions periodic wave solutions of the Benjamin Ono equation
	Nonlinear Dynamics, 2018

[8]	High-order rogue waves of the Benjamin–Ono equation and the nonlocal nonlinear Schrödinger equation
	Modern Physics Letters B, 2017

[9]	The Rational Solutions and the Interactions of the N-Soliton Solutions for Boiti-Leon-Manna-Pempinelli-Like Equation
	2017

[10]	Spatiotemporal dynamics of lump solution to the (1+ 1)-dimensional Benjamin–Ono equation
	2017

[11]	EXPLORING NONCLASSICAL SYMMETRIES FOR BENJAMIN-ONO EQUATION, LEADING TO EXACT SOLUTIONS

Journals Menu

Follow SCIRP

	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies