Stationary solution of the nonlinear Schrödinger's equation with log law nonlinearity by Lie symmetry analysis

DOI10.1080/17455030.2011.601353zbMath1274.35355OpenAlexW2020379415MaRDI QIDQ2855377

Chaudry Masood Khalique, Anjan Biswas

Publication date: 25 October 2013

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2011.601353

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Lie symmetry analysis, conservation laws and explicit solutions for the time fractional Rosenau-Haynam equation ⋮ Classification of optical wave solutions to the nonlinearly dispersive Schrödinger equation ⋮ Abundant lump solution and interaction phenomenon of (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

Cites Work

• Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity
• Optical soliton perturbation with time-dependent coefficients in a log law media
• Optical solitons with log-law nonlinearity
• 1-soliton solution of the nonlinear Schrödinger's equation with Kerr law nonlinearity using Lie symmetry analysis
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity

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