Engin Bacsakouglu

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20222025

most citedGlobal Well-posedness for The Fourth-order Nonlinear Schrödinger Equations on

R^{2}

1 citations · 1 across the 7 of their papers we have counts for

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math.AP2022

Global Well-posedness for the Biharmonic Quintic Nonlinear Schrödinger Equation on $R^{2}$

Engin Başakoğlu, T. Burak Gürel, Oğuz Yılmaz

We prove that the Cauchy problem for the 2D quintic defocusing biharmonic Schrödinger equation is globally well-posed in the Sobolev spaces $H^{s} (R^{2})$ for $\frac{8}{7}<s<2…

math.AP2022

Smoothing and Global Attractors for the Hirota-Satsuma System on the Torus

Engin Başakoğlu, T. Burak Gürel

We consider the Hirota-Satsuma system, a coupled KdV-type system, with periodic boundary conditions. The first part of the paper concerns with the smoothing estimates for the syste…

Global Well-posedness for the Biharmonic Quintic Nonlinear Schrödinger Equation on R2

Smoothing and Global Attractors for the Hirota-Satsuma System on the Torus

Global Well-posedness for the Biharmonic Quintic Nonlinear Schrödinger Equation on $R^{2}$