4 papers
Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization
Pascal Bégout, Jesús Ildefonso Díaz
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between th…
Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains
Pascal Bégout, Jesús Ildefonso Díaz
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between th…
On the compactness of the support of solitary waves of the complex saturated nonlinear Schr{ö}dinger equation and related problems
Pascal Bégout, Jesús Ildefonso Díaz
We study the vectorial stationary Schr{ö}dinger equation -u + a U + b u = F, with a saturated nonlinearity U = u/|u| and with some complex coefficients (a, b) C 2 . Beside…
Strong stabilization of damped nonlinear Schr{ö}dinger equation with saturation on unbounded domains
Pascal Bégout, Jesús Ildefonso Díaz
We consider the damped nonlinear Schr\''{o}dinger equation with saturation: i.e., the complex evolution equation contains in its left hand side, besides the potential term …