Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line | Zendy

Abderrazak Chrifi | Zendy; Mostafa Abounouh | Zendy; Hassan Al Moatassime | Zendy

Open Access

Galerkin method of weakly damped cubic nonlinear Schrödinger with Dirac impurity, and artificial boundary condition in a half-line

Author(s) -

Abderrazak Chrifi,

Mostafa Abounouh,

Hassan Al Moatassime

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2021030

Subject(s) - uniqueness , mathematics , dirac (video compression format) , nonlinear schrödinger equation , nonlinear system , line (geometry) , mathematical physics , mathematical analysis , schrödinger's cat , schrödinger equation , physics , quantum mechanics , geometry , neutrino

We consider a weakly damped cubic nonlinear Schrödinger equation with Dirac interaction defect in a half line of \begin{document}$ \mathbb{R} $\end{document} . Endowed with artificial boundary condition at the point \begin{document}$ x = 0 $\end{document} , we discuss the global existence and uniqueness of solution of this equation by using Faedo–Galerkin method.

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