Solitary wave solution of higher-order Korteweg-de Vries equation

An attempt has been made to obtain exact analytical traveling wave solution or simple wave solution of higher-order Korteweg de Vries (KdV) equation by using tanh-method or hyperbolic method. The higher-order equation call be derived for magnetized plasmas by using the reductive perturbation technique. It is found that the exact solitary wave Solution of higher-order KdV equation is obtained by tanh-method. Using this method, different kinds of nonlinear wave equations can be evaluated. The higher-order nolinearity and higher-order dispersive effect can be observed from the solutions of the equations. The method is applicable for other nonlinear wave equations. (C) 2007 Elsevier Ltd. All rights reserved.