Existence of Dark Soliton Solutions of the Cubic Nonlinear Schrödinger Equation with Periodic Inhomogeneous Nonlinearity

DOI10.2991/jnmp.2008.15.s3.7zbMath1362.35279OpenAlexW2120945362MaRDI QIDQ5346989

Juan Belmonte-Beitia, Pedro J. Torres

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2008.15.s3.7

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (7)

New exact solutions to the high dispersive cubic-quintic nonlinear Schrödinger equation ⋮ Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates ⋮ New solitons and conditional stability to the high dispersive nonlinear Schrödinger equation with parabolic law nonlinearity ⋮ Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential ⋮ On the existence of dark solitons of the defocusing cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity ⋮ Modulated amplitude waves with nonzero phases in Bose-Einstein condensates ⋮ On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs

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• The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
• On the structure of the set of bounded solutions on a periodic Liénard equation
• Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension

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