Article ID Journal Published Year Pages File Type
4636739 Applied Mathematics and Computation 2006 18 Pages PDF
Abstract

In this work we use the tanh method for solving several forms of the fifth-order nonlinear KdV equation. The forms include the Lax, Sawada–Kotera (SK), Kaup–Kupershmidt (KK), and the Ito forms and other related special cases. Abundant solitons solutions are derived. Two necessary criteria are established to build up reliable strategies that govern the relation between the parameters of the equation. Previously known solutions are recovered and entirely new bell shaped solitons are determined.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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