Article ID Journal Published Year Pages File Type
4634320 Applied Mathematics and Computation 2008 7 Pages PDF
Abstract

A new completely integrable dispersive equation is derived. The new equation is obtained by extending the Lax fifth-order equation using the sense of the Kadomtsev–Petviashvili (KP) equation in extending the KdV equation. The newly derived Lax–Kadomtsev–Petviashvili (Lax–KP) equation is investigated by using the tanh–coth method and the Hirota bilinear method to derive single soliton solution and N-soliton solutions, respectively. The study highlights the multiple-soliton solutions of the derived completely integrable equation.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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