2 papers
math.AP2025
Existence and stability for traveling waves of fourth order semilinear wave and Schrodinger equations
Vishnu Iyer, Ross Parker, Atanas G. Stefanov
We investigate the existence and spectral stability of traveling wave solutions for a class of fourth-order semilinear wave equations, commonly referred to as beam equations. Using…
nlin.PS2025
Stability theory of flat band solitons in nonlinear wave systems
Cheng Shi, Ross Parker, Panayotis G. Kevrekides +1
We establish a sharp criterion for the stability of a class of compactly supported, homogeneous density``minimal compact solitons'' or MCS states, of the time-dependent discrete no…