The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations

The extended tanh method is used to derive new solitons solutions for several forms of the fifth-order nonlinear KdV equation. The forms include the Lax, Sawada-Kotera (SK), Sawada-Kotera-Parker Dye (SKPD), Kaup-Kupershmidt (KK), Kaup-Kupershmidt-Parker Dye (KKPD), and the Ito equations. The criteria established in [A.M. Wazwaz, Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.02.047] to build up reliable relations between the parameters of the equation are confirmed by using this new approach. Entirely new bell shaped solitons are determined. (c) 2006 Elsevier Inc. All rights reserved.