NONLINEAR SELF ADJOINTNESS AND EXACT SOLUTION OF FOKAS–OLVER–ROSENAU–QIAO (FORQ) EQUATION

Year 2018, Volume: 67 Issue: 2, 317 - 326, 01.08.2018

Filiz Taşcan Ömer Ünsal Arzu Akbulut Sait San

Abstract

Abstract. Based on Lieís symmetry approach, conservation laws are constructed
for Fokas-Olver-Rosenau-Qiao(FORQ) equation and exact solution
is obtained. Nonlocal conservation theorem is used to carry out the analysis of
conservation process. Nonlinear self adjointness concept is applied to FORQ
equation, it is proved to be strict self adjoint. Characteristic equation and
similarity variable help us fnd exact solution of FORQ equation. Compared
with solutions found in previous papers, our solution is new and important,
since it is not possible to fnd exact solution of FORQ equation quite easily

Keywords

Conservation laws, symmetry generators, FORQ equation, self adjointness, exact solution

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