Symbolic Computation and Construction of New Exact Traveling Wave Solutions to Fitzhugh-Nagumo and Klein-Gordon Equations

Makaleler > Tam Makale · 2009

Yazarlar: Turgut Öziş, İsmail Aslan

Zeitschrift für Naturforschung A, Uluslararası, Wos, 2009, cilt 64, ss 15-20

DOI: 10.1515/zna-2009-1-203

Özet

With the aid of the symbolic computation system Mathematica, many exact solutions for the Fitzhugh-Nagumo equation and the Klein-Gordon equation with a quadratic nonlinearity are constructed by an auxiliary equation method, the so-called (G'/G)-expansion method, where the new and more general forms of solutions are also obtained. Periodic and solitary traveling wave solutions capable of moving in both directions are observed.

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