most citedStability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation

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nlin.PS2012★ 4 cited

Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation

Xiao Liu, Gideon Simpson, Catherine Sulem

We consider a derivative nonlinear Schrödinger equation with a general nonlinearity. This equation has a two parameter family of solitary wave solutions. We prove orbital stability…

nlin.PS2010

Coherent Structures and Carrier Shocks in the Nonlinear Periodic Maxwell Equations

Gideon Simpson, Michael I. Weinstein

We consider the one-dimensional propagation of electromagnetic waves in a weakly nonlinear and low-contrast spatially inhomogeneous medium with no energy dissipation. We focus on t…