110 citations · 158 across the 4 of their papers we have counts for
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The semiclassical modified nonlinear Schrödinger equation II: asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
Jeffery C. DiFranco, Peter D. Miller
We begin a study of a multi-parameter family of Cauchy initial-value problems for the modified nonlinear Schrödinger equation, analyzing the solution in the semiclassical limit. We…
On the modified nonlinear Schrödinger equation in the semiclassical limit: supersonic, subsonic, and transsonic behavior
Jeffery C. DiFranco, Peter D. Miller, Benson K. Muite
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MNLS) equation and the focusing and defocusing variants of the (unmodified) nonline…
The Semiclassical Modified Nonlinear Schroedinger Equation I: Modulation Theory and Spectral Analysis
Jeffery C. DiFranco, Peter D. Miller
We study an integrable modification of the focusing nonlinear Schroedinger equation from the point of view of semiclassical asymptotics. In particular, (i) we establish several imp…