The variational iteration method combined with improved generalized tanh–coth method applied to Sawada–Kotera equation

We obtain new exact solutions to generalized Sawada–Kotera equation. Using the variational iteration method combined with the improved generalized tanh–coth method, we construct new traveling wave solutions for the standard Sawada–Kotera equation and, by means of scaling, we obtain new solutions to...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics and computation 2010-10, Vol.217 (4), p.1408-1414
Hauptverfasser:	Gómez, Cesar A., Salas, Alvaro H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Computation Exact sciences and technology Exact solutions Fifth-order KdV equation Improved tanh–coth method Iterative methods Mathematica Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Partial differential equations Sawada–Kotera equation Sciences and techniques of general use Solitons Traveling waves Variational iteration method
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We obtain new exact solutions to generalized Sawada–Kotera equation. Using the variational iteration method combined with the improved generalized tanh–coth method, we construct new traveling wave solutions for the standard Sawada–Kotera equation and, by means of scaling, we obtain new solutions to general Sawada–Kotera equation. Periodic and soliton solutions are formally derived for both models.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2009.05.046