C. Sulem

activity

19992024

most citedSoliton Resolution for the Derivative Nonlinear Schrödinger Equation

96 citations · 299 across the 24 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.AP2013★ 2 cited

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $R^{3}$

J. Colliander, M. Czubak, C. Sulem

We consider the scalar Zakharov system in $R^{3}$ for initial conditions $(ψ (0), n (0), n_{t} (0)) \in H^{ℓ + 1/2} \times H^{ℓ} \times H^{ℓ - 1}$ , $0 \leq ℓ \leq 1$ . Assuming that…

math.AP2013★ 2 cited

Focusing Singularity in a Derivative Nonlinear Schrödinger Equation

Xiao Liu, Gideon Simpson, Catherine Sulem

We present a numerical study of a derivative nonlinear Schrödinger equation with a general power nonlinearity, $∣ ψ ∣^{2 σ} ψ_{x}$ . In the $L^{2}$ -supercritical regime, $σ > 1$ , our simulati…

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in R3

Focusing Singularity in a Derivative Nonlinear Schrödinger Equation

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $R^{3}$