35 citations · 95 across the 12 of their papers we have counts for
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math.AP2026
Ground States and Periodic--to--Localized Convergence in Two--Dimensional Saturable Discrete Nonlinear Schrödinger Equations
Vassilios M Rothos
We study a two--dimensional discrete nonlinear Schrödinger equation with saturable nonlinearity on the lattice . Using a variational approach based on the Nehari manif…
nlin.PS2026
Spectral stability and slow--fast structure of traveling waves in a regularized sine--Gordon equation
Vassilios M Rothos
We investigate the dynamics and spectral stability of traveling kink and antikink solutions in a dissipative sine--Gordon equation with two distinct fourth--order regularization me…
nlin.PS2026
Separatrix Splitting and Chaotic Dynamics in Collective-Coordinate Reductions of Driven Kinks
Vassilios M Rothos
We investigate the emergence of chaotic dynamics in collective-coordinate reductions of a driven and spatially modulated field describing the motion of topological kinks. Foc…