Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.08.003
Abstract: Abstract We study the Cauchy problem for the integrable nonlocal nonlinear Schrodinger (NNLS) equation i q t ( x , t ) + q x x ( x , t ) + 2 q 2… read more here.
Keywords: equation step; nonlocal nonlinear; problem; like initial ... See more keywords
Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5026332
Abstract: The Korteweg-deVries (KdV) equation with step boundary conditions is considered, with an emphasis on soliton dynamics. When one or more initial solitons are of sufficient size they can propagate through the step; in this case… read more here.
Keywords: step; equation step; pseudo embedded; step boundary ... See more keywords