Chirped self-similar waves for quadratic-cubic nonlinear Schrödinger equation

DOI10.1016/J.AOP.2017.10.007zbMath1377.78006OpenAlexW2760867773MaRDI QIDQ1692544

Shally Loomba, Ritu Pal, C. Nagaraja Kumar

Publication date: 10 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.aop.2017.10.007

zbMATH Keywords

nonlinear Schrödinger equationself-similar wavestapered graded index waveguide

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Self-similar solutions to PDEs (35C06)

Related Items (9)

Propagation properties of chirped optical similaritons with dual-power law nonlinearity ⋮ Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity ⋮ Chirped self-similar solitary waves in optical fibers governed with self-frequency shift and varying parameters ⋮ Solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides ⋮ Matter wave soliton solutions for driven Gross-Pitaevskii equation with distributed coefficients ⋮ Periodic and solitary waves generating in optical fiber amplifiers and fiber lasers with distributed parameters ⋮ Chirped super-Gaussian and super-sech pulse perturbation of nonlinear Schrödinger's equation with quadratic-cubic nonlinearity by variational principle ⋮ Nonautonomous matter wave bright solitons in a quasi-1D Bose-Einstein condensate system with contact repulsion and dipole-dipole attraction ⋮ Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation

Cites Work

• Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications
• Optical solitons with log-law nonlinearity
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
• Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity
• Propagation of dispersion–nonlinearity-managed solitons in an inhomogeneous erbium-doped fiber system
• Solitons for the cubic–quintic nonlinear Schrödinger equation with time- and space-modulated coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Chirped self-similar waves for quadratic-cubic nonlinear Schrödinger equation