Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations

Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations

The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended di...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Abstract and Applied Analysis 2014, Vol.2014 (2014), p.738-744-1582
Hauptverfasser: Seadawy, A. R., Sayed, A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Boundary conditions
Fluids
Mathematical analysis
Mathematical models
Media
Methods
Plasma
Stability
Studies
Theory
Traveling waves
Water waves
Wave equation
Wave propagation
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/926838