Long-time behavior of solution for rosenau-burgers equation (i)

This paper establishes more results on the decay of solutions for the Rosenau–Burgers equation Some new results on the asymptotic behavior of the solutions have been developed by the Fourier transform method with energy estimates, which improve our previous work [6]. Furthermore, the stability of the stationary travelling wave solutions and the exponential tfme-decay rate are established by the technical weighted energy method.