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An adaptive Galerkin method for the time-dependent complex Schrödinger equation
ArticleAbstract: Nonlinear time-dependent Schrödinger equations (NLSE) model several important problems in quantum phPalabras claves:Adaptive Galerkin method, Dual weighted residual method, Nonlinear time-dependent Schrödinger equationAutores:Ándres I. Ávila, Meister A., Steigemann M.Fuentes:scopusMultiple solutions of a coupled nonlinear Schrödinger system
ArticleAbstract: We will consider the relation between the number of positive standing waves solutions for a class ofPalabras claves:Elliptic system, Nehari manifold, Relative category, Schrödinger equation, Variational methodsAutores:Ándres I. Ávila, Wan Y.Fuentes:scopusLocating peaks of a Schrödinger equation with sign-changing nonlinearity
ArticleAbstract: In this paper, we study the concentration phenomenon of a positive ground state solution of a nonlinPalabras claves:Energy functional, Schrdinger equation, Spike solutionsAutores:Ándres I. Ávila, Yang J.Fuentes:scopusTwo-dimensional composite solitons in a spin-orbit-coupled fermi gas in free space
ArticleAbstract: We address a possibility of creating soliton states in oblate binary-fermionic clouds in the framewoPalabras claves:Cold atoms, Solitons, Spin-orbit couplingAutores:Ándres I. Ávila, David Laroze, Díaz P., Malomed B.A.Fuentes:scopusRates of decay to non homogeneous Timoshenko model with tip body
ArticleAbstract: We consider the uniform stabilization of a hybrid elastic model consisting of a Timoshenko beam andPalabras claves:Essential radius, Polynomial decay, Semigroup theory, Timoshenko's beam, Tip body, Uniform stabilizationAutores:Ándres I. Ávila, Muñoz Rivera J.E.Fuentes:scopus