73 citations · 343 across the 31 of their papers we have counts for
4 papers · 1 filter
Dynamics near a minimal-mass soliton for a Korteweg-de Vries equation
Jeremy L. Marzuola, Sarah Raynor, Gideon Simpson
We study soliton solutions to a generalized Korteweg - de Vries (KdV) equation with a saturated nonlinearity, following the line of inquiry of the authors for the nonlinear Schrödi…
Behavior of a Model Dynamical System with Applications to Weak Turbulence
James E. Colliander, Jeremy L. Marzuola, Tadahiro Oh +1
We experimentally explore solutions to a model Hamiltonian dynamical system derived in Colliander et al., 2012, to study frequency cascades in the cubic defocusing nonlinear Schröd…
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…
Numerical Analysis of Parallel Replica Dynamics
Gideon Simpson, Mitchell Luskin
Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. In this work, the processes are governed by th…