Yanping Cao

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20062009

most citedNonlinear Schrodinger-Helmholtz Equation as Numerical Regularization of the Nonlinear Schrodinger Equation

21 citations · 21 across the 5 of their papers we have counts for

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math.AP2007★ 21 cited

Nonlinear Schrodinger-Helmholtz Equation as Numerical Regularization of the Nonlinear Schrodinger Equation

Yanping Cao, Ziad H. Musslimani, Edriss S. Titi

A regularized $α -$ system of the Nonlinear Schrödinger Equation (NLS) with $2 σ$ nonlinear power in dimension $N$ is studied. We prove existence and uniqueness of local solution in t…

math.AP2006

Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations

Yanping Cao, Edriss S. Titi

We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in $R$ and $R^{2}$ are the trivial constant solutions. We extend our tec…