Global attractor for Hirota equation

作者:Zhang Rui feng; Guo Bo ling
来源:Applied Mathematics. Series B, A Journal of Chinese Universities, 2008, 23(1): 57-64.
DOI:10.1007/s11766-008-0108-1

摘要

The long time behavior of solution for Hirota equation with zero order dissipation is studied. The global weak attractor for this system in H-per(k) is constructed. And then by exact analysis of the energy equation, it is shown that the global weak attractor is actually the global strong attractor in H-per(k).