NONLINEAR SELF ADJOINTNESS AND EXACT SOLUTION OF FOKASñOLVERñROSENAUñQIAO (FORQ) EQUATION

Abstract

Based on Lieís symmetry approach, conservation laws are constructed for FokasñOlverñRosenauñQiao(FORQ) equation and exact solutionis obtained. Nonlocal conservation theorem is used to carry out the analysis ofconservation process. Nonlinear self adjointness concept is applied to FORQequation, it is proved to be strict self adjoint. Characteristic equation andsimilarity variable help us Önd exact solution of FORQ equation. Comparedwith solutions found in previous papers, our solution is new and important,since it is not possible to Önd exact solution of FORQ equation quite easily.