Steady state solutions for nonlinear Schrödinger equation arising in optics

DOI10.1063/1.3122774zbMath1187.78058OpenAlexW2019820403MaRDI QIDQ3565269

Yisong Yang, Rui-feng Zhang

Publication date: 3 June 2010

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

Full work available at URL: https://doi.org/10.1063/1.3122774

zbMATH Keywords

Schrödinger equationnonlinear opticsnonlinear equationslight propagationphotorefractive materials

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (11)

Existence of optical vortex solitons in pair plasmas ⋮ On the existence of optical vortex solitons propagating in saturable nonlinear media ⋮ The existence of steady solutions for a class of Schrödinger equations in nonlinear optical lattices ⋮ Schrödinger equations in nonlinear optics ⋮ Canonical systems of partial differential equations ⋮ Photonic lattices ⋮ The existence of solutions for the problem in the optical lattice with nonlocal nonlinearity ⋮ Deceptive systems of differential equations ⋮ Steady state solutions for Schrödinger equations governing nonlinear optics ⋮ Existence of steady-state solutions in a nonlinear photonic lattice model ⋮ Unnamed Item

Cites Work

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• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Biological Pattern Formation as a Complex Dynamic Phenomenon
• Pattern formation outside of equilibrium

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