%0 Journal Article %T Stability of Solitary Waves for a Generalized Derivative Nonlinear Schr£żdinger Equation %A Xiao Liu %A Gideon Simpson %A Catherine Sulem %J Physics %D 2012 %I arXiv %X We consider a derivative nonlinear Schr\"odinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability/instability results that depend on the strength of the nonlinearity and, in some instances, their velocity. We illustrate these results with numerical simulations. %U http://arxiv.org/abs/1206.3502v1