Global stability of strong rarefaction waves for the generalized KdV–Burgers equation

This paper is concerned with the global stability of strong rarefaction waves for the generalized KdV–Burgers equation. In contrast to former results obtained by Z.A. Wang and C.J. Zhu [Stability of the rarefaction wave for the generalized KdV–Burgers equation, Acta Math. Sci. 22B (3) (2002) 319–328], ours do not require the strength of the rarefaction waves to be small and the initial disturbance can also be chosen large.