Showing math.APShow all
2 papers · 1 filter
math.AP2025
The Maslov index, degenerate crossings and the stability of pulse solutions to the Swift-Hohenberg equation
Margaret Beck, Jonathan Jaquette, Hannah Pieper
In the scalar Swift-Hohenberg equation with quadratic-cubic nonlinearity, it is known that symmetric pulse solutions exist for certain parameter regions. In this paper we develop a…
math.AP2024
Mechanisms of unstable blowup in a quadratic nonlinear Schrödinger equation
Jonathan Jaquette
In the work Cho et al. [Jpn. J. Ind. Appl. Math. 33 (2016): 145-166] the authors conjecture that the quadratic nonlinear Schrödinger equation (NLS) for $ x…