New exact solutions for seventh-order Sawada-Kotera-Ito, Lax and Kaup-Kupershmidt equations using Exp-function method

In this work, Exp‐function method is used to solve three different seventh‐order nonlinear partial differential KdV equations. Sawada–Kotera–Ito, Lax and Kaup–Kupershmidt equations are well known and considered for solve. Exp‐function method can be used as an alternative to obtain analytic and appro...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2010-01, Vol.33 (2), p.167-176
Hauptverfasser:	Ganji, D. D., Davodi, A. G., Geraily, Y. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Differential equations Exact sciences and technology Exact solutions Exp-function method Lax and Kaup-Kupershmidt Mathematical analysis Mathematics nonlinear partial differential equations Nonlinearity Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sawada-Kotera-Ito Sawada–Kotera–Ito, Lax and Kaup–Kupershmidt Sciences and techniques of general use seventh-order KDV equation
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Beschreibung
Zusammenfassung:	In this work, Exp‐function method is used to solve three different seventh‐order nonlinear partial differential KdV equations. Sawada–Kotera–Ito, Lax and Kaup–Kupershmidt equations are well known and considered for solve. Exp‐function method can be used as an alternative to obtain analytic and approximate solutions of different types of differential equations applied in engineering mathematics. Ultimately this method is implemented to solve these equations and convenient and effective solutions are obtained. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN:	0170-4214 1099-1476 1099-1476
DOI:	10.1002/mma.1160