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…
math.AP2024
Solitary waves for the power degenerate NLS -- existence and stability
Vishnu Iyer, Atanas G. Stefanov
We consider a semilinear Schrödinger equation, driven by the power degenerate second order differential operator . We construct the soli…