New solutions for the cubic Schrödinger equation and solitonic solutions

DOI10.1016/J.CHAOS.2008.02.033zbMath1198.81108OpenAlexW2070849368MaRDI QIDQ602354

Hassan A. Zedan

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.02.033

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)

Cites Work

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• The WTC and ARS Painlevé tests
• New soliton-like solutions to the potential Kadomtsev-Petviashvili (PKP) equation.
• Symmetry analysis of an integrable reaction-diffusion equation
• Solitary wave solutions for variant Boussinesq equations
• Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations
• New exact solutions to a solutions to a system of coupled KdV equations
• Exact solutions for a compound KdV-Burgers equation
• A note on the homogeneous balance method
• Painlevé test for the certain (2 + 1)-dimensional nonlinear evolution equations
• Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method
• The Painlevé property for partial differential equations
• On classes of integrable systems and the Painlevé property
• Darboux transformations via Painlevé analysis

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