17 citations · 21 across the 5 of their papers we have counts for
3 papers · 1 filter
Infinite-order rogue waves that are small (but not small in )
Deniz Bilman, Peter D. Miller
General rogue waves of infinite order constitute a family of solutions of the focusing nonlinear Schrödinger equation that have recently been identified in a variety of asymptotic…
Suleimanov-Talanov self-focusing and the hierarchy of the focusing nonlinear Schrödinger equation
Robert J. Buckingham, Robert M. Jenkins, Peter D. Miller
We study the self-focusing of wave packets from the point of view of the semiclassical focusing nonlinear Schrödinger equation. A type of finite-time collapse/blowup of the solutio…
Rigorous Methods for Bohr-Sommerfeld Quantization Rules
Joanne Dong, Peter D. Miller, Giorgio Young
In this work, we prove Bohr-Sommerfeld quantization rules for the self-adjoint Zakharov-Shabat system and the Schrödinger equation in the presence of two simple turning points boun…