3 citations · 3 across the 2 of their papers we have counts for
3 papers
nlin.SI2025
Kink breathers on a traveling wave background in the defocusing modified Korteweg--de Vries equation
Lynnyngs Kelly Arruda, Dmitry E. Pelinovsky
We characterize a general traveling periodic wave of the defocusing mKdV (modified Korteweg--de Vries) equation by using a quotient of products of Jacobi's elliptic theta functions…
math.PR2024★ 3 cited
Well-posedness of the Stochastic Degasperis-Procesi Equation
Lynnyngs K. Arruda, Nikolai V. Chemetov, Fernanda Cipriano
This article studies the Stochastic Degasperis-Procesi (SDP) equation on with an additive noise. Applying the kinetic theory, and considering the initial conditions in…
nlin.SI2017
Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
L. K. Arruda, J. Lenells
We derive asymptotic formulas for the solution of the derivative nonlinear Schrödinger equation on the half-line under the assumption that the initial and boundary values lie in th…