New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations

In this letter, the Kaup–Kupershmidt, ( 2 + 1 ) -dimensional Potential Kadomtsev–Petviashvili (shortly PKP) equations are presented and the Exp-function method is employed to compute an approximation to the solution of nonlinear differential equations governing the problem. It has been attempted to...

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Veröffentlicht in:	Journal of computational and applied mathematics 2009-07, Vol.229 (1), p.158-167
Hauptverfasser:	Borhanifar, A., Kabir, M.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-dimensional Potential Kadomtsev–Petviashvili (PKP) equation Exact sciences and technology Exp-function method Global analysis, analysis on manifolds Kaup–Kupershmidt equation Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations Periodic solutions Sciences and techniques of general use Soliton Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Traveling wave solution
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Beschreibung
Zusammenfassung:	In this letter, the Kaup–Kupershmidt, ( 2 + 1 ) -dimensional Potential Kadomtsev–Petviashvili (shortly PKP) equations are presented and the Exp-function method is employed to compute an approximation to the solution of nonlinear differential equations governing the problem. It has been attempted to show the capabilities and wide-range applications of the Exp-function method. This method can be used as an alternative to obtain analytic and approximate solution of different types of differential equations applied in engineering mathematics.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2008.10.052