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math.AP2013
The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus
M. Burak Erdogan, Jeremy L. Marzuola, Katherine A. Newhall +1
The Zakharov system was originally proposed to study the propagation of Langmuir waves in an ionized plasma. In this paper, motivated by earlier work of the first and third authors…
math.AP2013★ 7 cited
Talbot effect for the cubic nonlinear Schrödinger equation on the torus
M. B. Erdogan, N. Tzirakis
We study the evolution of the one dimensional periodic cubic Schrödinger equation (NLS) with bounded variation data. For the linear evolution, it is known that for irrational time…