Effect of third-order dispersion on the solitonic solutions of the Schrödinger equations with cubic nonlinearity

DOI10.1155/2014/323591zbMath1308.35281OpenAlexW1965948239WikidataQ59045906 ScholiaQ59045906MaRDI QIDQ471630

J. Herrera, Sumit K. Garg

Publication date: 17 November 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/323591

zbMATH Keywords

nonlinear Schrödinger equationDarboux transformationintegrability conditions

Mathematics Subject Classification ID

Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
• Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
• Rogue waves in the ocean
• Elastic interactions between multi-valued foldons and anti-foldons for the \({(2+1)}\)-dimensional variable coefficient Broer-Kaup system in water waves
• Soliton solutions for a generalized fifth-order KdV equation with t-dependent coefficients
• Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons
• New solitons for the Hirota equation and generalized higher-order nonlinear Schrödinger equation with variable coefficients
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Propagation of dark solitons in a system of coupled higher-order nonlinear Schrödinger equations
• A comparative analysis of Painlevé, Lax pair, and similarity transformation methods in obtaining the integrability conditions of nonlinear Schrödinger equations
• Lax pairs of time-dependent Gross–Pitaevskii equation
• Exact envelope-soliton solutions of a nonlinear wave equation

This page was built for publication: Effect of third-order dispersion on the solitonic solutions of the Schrödinger equations with cubic nonlinearity