10 citations · 14 across the 3 of their papers we have counts for
4 papers
Two-color solitons in Kerr third harmonic generation model
Alexey Sukhinin, Curtis Menyuk, Natalia Litchinitser +2
We investigate two-color, two dimensional spatially localized light modes in a resonant Kerr third-harmonic generation model. Using computational tools, we identify two distinct fa…
Localized solutions of nonlinear network wave equations
J. G. Caputo, I. Khames, A. Knippel +1
We study localized solutions for the nonlinear graph wave equation on finite arbitrary networks. Assuming a large amplitude localized initial condition on one node of the graph, we…
Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum
J. Cuevas-Maraver, P. G. Kevrekidis, A. B. Aceves +1
In the present work, we explore a nonlinear Dirac equation motivated as the continuum limit of a binary waveguide array model. We approach the problem both from a near-continuum pe…
On the asymptotic evolution of finite energy Airy wavefunctions
Pedro Chamorro-Posada, Julio Sánchez-Curto, Alejandro B. Aceves +1
In general, there is an inverse relation between the degree of localization of a wavefunction of a certain class and its transform representation dictated by the scaling property o…