Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 0969.76518
Yan, Z.; Zhang, H.
New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water. (English)
[J] Phys. Lett., A 285, No.5-6, 355-362 (2001). ISSN 0375-9601

Summary: Based upon the well-known Riccati equation, a new generalized transformation is presented and applied to solve Whitham-Broer-Kaup (WBK) equation in shallow water. As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained. And variant Boussinesq equation and the system of approximate equation for long water waves, as the special cases of WBK equation, can also obtain the corresponding solitary wave solutions and periodic wave solutions. In addition, with the aid of Mathematica and Wu elimination method to solve a large system of algebraic equations, the course of solving equations can be carried out in computer.

MSC 2000:: *76B15 Wave motions (fluid mechanics)
76B25 Solitary waves, etc. (inviscid fluids)
35L05 Wave equation

Keywords: transformation; Boussinesq equation; Riccati equation

Cited in: Zbl 1167.35442 Zbl 1038.35095

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]