75 citations · 343 across the 49 of their papers we have counts for
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Microscopic conservation laws for integrable lattice models
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We consider two discrete completely integrable evolutions: the Toda Lattice and the Ablowitz-Ladik system. The principal thrust of the paper is the development of microscopic conse…
Orbital stability of KdV multisolitons in
Rowan Killip, Monica Visan
We prove that multisoliton solutions of the Korteweg--de Vries equation are orbitally stable in . We introduce a variational characterization of multisolitons t…
Cubic-quintic NLS: scattering beyond the virial threshold
Rowan Killip, Jason Murphy, Monica Visan
We consider the nonlinear Schrödinger equation in three space dimensions with combined focusing cubic and defocusing quintic nonlinearity. This problem was considered previously by…
Sharp well-posedness for the cubic NLS and mKdV in
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We prove that the cubic nonlinear Schrödinger equation (both focusing and defocusing) is globally well-posed in for any regularity . Well-posedness has…