Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1146.35025
Zhou, Jiangbo; Tian, Lixin
A type of bounded traveling wave solutions for the Fornberg-Whitham equation. (English)
[J] J. Math. Anal. Appl. 346, No. 1, 255-261 (2008). ISSN 0022-247X

Summary: By using bifurcation method, we successfully find the Fornberg-Whitham equation $$u_t - u_{xxt}+u_x=uu_{xxx} - uu_x+3u_xu_{xx}$$ has a type of traveling wave solutions called kink-like wave solutions and antikink-like wave solutions. They are defined on some semifinal bounded domains and possess properties of kink waves and anti-kink waves. Their implicit expressions are obtained. For some concrete data, the graphs of the implicit functions are displayed, and the numerical simulation is made. The results show that our theoretical analysis agrees with the numerical simulation.

MSC 2000:: *35G25 Initial value problems for nonlinear higher-order PDE

Keywords: bifurcation method; kink-like wave solutions; antikink-like wave solutions

Cited in: Zbl 1195.35089

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]