Nonlocal nonlinear Schrödinger equations and their soliton solutions
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- 1 May 2018
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 59 (5) , 051501
Abstract
We study standard and nonlocal nonlinear Schrödinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standard and nonlocal reductions, respectively. By using the Hirota bilinear method, we first find soliton solutions of the coupled NLS system of equations; then using the reduction formulas, we find the soliton solutions of the standard and nonlocal NLS equations. We give examples for particular values of the parameters and plot the function |q(t, x)|2 for the standard and nonlocal NLS equations.Keywords
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Funding Information
- cientific and Technological Research Council of Turkey TUBITAK
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