Exact solutions for nonlinear variants of Kadomtsev–Petviashvili (n, n) equation using functional variable method

Springer Science and Business Media LLC - Tập 81 - Trang 911-924 - 2013
M MIRZAZADEH1, M ESLAMI2
1Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar, Iran
2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Tóm tắt

Studying compactons, solitons, solitary patterns and periodic solutions is important in nonlinear phenomena. In this paper we study nonlinear variants of the Kadomtsev–Petviashvili (KP) and the Korteweg–de Vries (KdV) equations with positive and negative exponents. The functional variable method is used to establish compactons, solitons, solitary patterns and periodic solutions for these variants. This method is a powerful tool for searching exact travelling solutions in closed form.

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