Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

# Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0759.65086
Gardner, L.R.T.; Gardner, G.A.
Solitary waves of the equal width wave equation.
(English)
[J] J. Comput. Phys. 101, No.1, 218-223 (1992). ISSN 0021-9991

In a recent paper of the authors [ibid. 91, No. 2, 441-459 (1990; Zbl 0717.65072)] a Galerkin method with cubic $B$-spline finite elements was proposed to obtain accurate and efficient numerical solutions to the regularized long wave (RLW) equation. Here, the same method is applied to the equal width equation and to simulate the migration and interaction of solitary waves and evolution of a Maxwellian initial condition.\par For small $\delta$ $(U\sb t+UU\sb x-\delta U\sb{xxt}=0)$ only positive waves are formed and the behaviour mimics that of the KdV and RLW equations. For larger values of $\delta$ both positive and negative solitary waves are generated.
[L.G.Vulkov (Russe)]
MSC 2000:
*65Z05 Applications to physics
65M60 Finite numerical methods (IVP of PDE)
35Q53 KdV-like equations
35L75 Nonlinear hyperbolic PDE of higher $(>2)$ order

Keywords: regularized long wave equation; Galerkin method; $B$-spline finite elements; equal width equation; solitary waves; positive waves

Citations: Zbl 0717.65072

Login Username: Password:

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster