Special Session 82: 

Symmetries and conservation laws of the FORQ equation

Zhijie Cao
UTRGV
Peoples Rep of China
Co-Author(s):    
Abstract:
Remarkablely, the Camassa-Holm (CH) equation is an integrable system in the sense that it possesses a Lax pair, a bi-Hamiltonian structure, and an infinite hierarchy of symmetries and conservation laws, and so does the Degasperis-Procesi (DP) equation, another integrable one. As we all know, the Fokas-Fuchssteiner-Olver-Rosenau-Qiao (FORQ) equation, also called the modified Camassa-Holm (mCH) equation, is an integrable equation. Its bi-Hamiltonian structure, Lax pair along with its single peakon solutions and multi-peakon solutions have been considered in the literature. In this talk, we will show its infinite hierarchy of symmetries and conservation laws.