Published April 30, 2007
| Version v1
Journal article
Elliptic solutions to a generalized BBM equation
Creators
- 1. Department of Physics, University of Osnabrueck, Barbarastr. 7, D-49069 Osnabrueck (Germany)
Description
An approach is proposed to obtain some exact explicit solutions in terms of the Weierstrass' elliptic function p to a generalized Benjamin-Bona-Mahony (BBM) equation. Conditions for periodic and solitary wave like solutions can be expressed compactly in terms of the invariants of p. The approach unifies recently established ad hoc methods to a certain extent. Evaluation of a balancing principle simplifies the application of this approach
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2006.11.088;
- arXiv
- arXiv:nlin/0607052v1;
- PII
- S0375-9601(06)01899-8;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 364
- Journal Issue
- 3-4
- Journal Page Range
- p. 221-226
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39013924
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; EQUATIONS; EVALUATION; EXACT SOLUTIONS; PERIODICITY; SOLITONS; WEIERSTRASS FUNCTIONS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SOLUTIONS; QUASI PARTICLES; VARIATIONS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.