Abstract
This paper is concerned with orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equationUnder the parametric conditions a > 0 and , an interesting phenomenon is discovered, that is, for the stability there exist three bifurcation wave speedssuch that the following conclusions hold.When wave speed belongs to the interval (c1, c2) for , the smooth solitary wave is orbitally stable.When wave speed belongs to the interval (c2, c3) for , the smooth solitary wave is orbitally unstable.When wave speed belongs to the interval (c1, c3) for , the smooth solitary wave is orbitally unstable.
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