5 citations · 15 across the 5 of their papers we have counts for
5 papers
Long-time asymptotics for the Massive Thirring model
Aaron Saalmann
We consider the massive Thirring model and establish pointwise long-time behavior of its solutions in weighted Sobolev spaces. For soliton-free initial data we can show that the so…
Inverse scattering for the massive Thirring model
Dmitry E. Pelinovsky, Aaron Saalmann
We consider the massive Thirring model in the laboratory coordinates and explain how the inverse scattering transform can be developed with the Riemann-Hilbert approach. The key in…
Global existence for the derivative NLS equation in the presence of solitons
Aaron Saalmann
We prove the existence of global solutions to the DNLS equation with initial data in a large subset of containing a neighborhood of all soli…
The derivative NLS equation: global existence with solitons
Yusuke Shimabukuro, Aaron Saalmann, Dmitry E. Pelinovsky
We extend the global existence result for the derivative NLS equation to the case when the initial datum includes a finite number of solitons. This is achieved by an application of…
Asymptotic stability of -solitons in the cubic NLS equation
Aaron Saalmann
In this article we consider the Cauchy problem for the cubic focusing nonlinear Schrö\-dinger (NLS) equation on the line with initial datum close to a particular -soliton. Using…