Bright and dark soliton solutions for the perturbed nonlinear schrödinger's equation with Kerr law and non-Kerr law nonlinearity

DOI10.1016/J.AMC.2014.08.098zbMath1338.35402OpenAlexW2018126250MaRDI QIDQ297762

F. Blanchet-Sadri, M. Dambrine

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.098

zbMATH Keywords

solitonsKerr lawperturbed nonlinear Schrödinger's equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (4)

Explicit wave solutions and qualitative analysis of the \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations ⋮ Some exact solutions of the Kudryashov-Sinelshchikov equation using point transformations ⋮ New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity

Cites Work

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• Simplest equation method to look for exact solutions of nonlinear differential equations
• Extended tanh-function method and its applications to nonlinear equations
• Stability and Evolution of Solitary Waves in Perturbed Generalized Nonlinear Schrödinger Equations

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