Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations

Makaleler > Tam Makale · 2013

Yazarlar: Ihsan Timuçin Timuçin Dolapci, Ahmet YILDIRIM

Nonlinear Analysis: Modelling and Control, Uluslararası, Wos, 2013, cilt 18, ss 27-36

DOI: 10.15388/na.18.1.14029

Özet

In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations. The generalized KdV equation and the system of the shallow water wave equation are chosen to illustrate the effectiveness and convenience of the method.

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