Invariance of the nonlinear generalized NLS equation under the Lie group of scaling transformations

DOI10.1007/S11071-015-2294-8zbMath1348.35251OpenAlexW1232373673WikidataQ115381722 ScholiaQ115381722MaRDI QIDQ330992

Hassan A. Zedan, Seham Shapll, Amira Abdel-Malek

Publication date: 26 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2294-8

zbMATH Keywords

symmetry propertiesLie group analysisfractional ODEs and PDEs

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Soliton solutions of KD system using similarity transformations method

Cites Work

• Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
• Exact solutions for the generalized KdV equation by using Bäcklund transformations
• Solution of nonlinear fractional differential equations using homotopy analysis method
• Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Group-Invariant Solutions of Fractional Differential Equations
• Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations
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