Optical soliton perturbation in a log-law medium with full nonlinearity by He's semi-inverse variational principle

DOI10.1080/17415977.2011.603088zbMath1242.65211OpenAlexW1984561719MaRDI QIDQ2884940

Anjan Biswas, Russell W. Kohl, Daniela M. Milovic

Publication date: 18 May 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2011.603088

zbMATH Keywords

numerical examplesintegrabilitysolitonsnon-linear Schrödinger's equationLambert's functioninverse variational principle

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Cubic-quartic optical soliton perturbation with complex Ginzburg-Landau equation by the enhanced Kudryashov's method ⋮ Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system ⋮ Topological and non-topological soliton solutions of Hamiltonian amplitude equation by He's semi-inverse method and ansatz approach ⋮ Chirped Lambert W-kink solitons of the complex cubic-quintic Ginzburg-Landau equation with intrapulse Raman scattering ⋮ Kinky breathers, W-shaped and multi-peak soliton interactions for Kudryashov's quintuple power-law coupled with dual form of non-local refractive index structure ⋮ Impact of external potential and non-isospectral functions on optical solitons and modulation instability in a cubic quintic nonlinear media

Cites Work

• Optical solitons with log-law nonlinearity
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Application of He's semi-inverse method to the nonlinear Schrödinger equation
• A study on linear and nonlinear Schrödinger equations by the variational iteration method
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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