178 citations · 981 across the 75 of their papers we have counts for
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math.AP2003
Effective Dynamics of Magnetic Vortices
S. Gustafson, I. M. Sigal
We study solutions of Ginzburg-Landau-type evolution equations (both dissipative and Hamiltonian) with initial data representing collections of widely-spaced vortices. We show that…
math-ph2003★ 178 cited
Solitary Wave Dynamics in an External Potential
J. Frohlich, S. Gustafson, B. L. G. Jonsson +1
We study the behavior of solitary-wave solutions of some generalized nonlinear Schrödinger equations with an external potential. The equations have the feature that in the absence…
math-ph2003★ 18 cited
Collapse of an Instanton
P. Bizon, Yu N. Ovchinnikov, I. M. Sigal
We construct a two parameter family of collapsing solutions to the 4+1 Yang-Mills equations and derive the dynamical law of the collapse. Our arguments indicate that this family of…