Optical solitons with power law nonlinearity using Lie group analysis

DOI10.1016/j.physleta.2009.04.011zbMath1229.35263OpenAlexW2052241843WikidataQ115341619 ScholiaQ115341619MaRDI QIDQ653151

Anjan Biswas, Chaudry Masood Khalique

Publication date: 6 January 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.04.011

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

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Cites Work

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• On the existence of bright solitons in cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity
• Self-similar solutions of the generalized Emden-Fowler equation
• Solution of generalized Emden-Fowler equations with two symmetries
• Introduction to non-Kerr Law Optical Solitons
• First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

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