Soliton solutions for NLS equation using radial basis functions

Yılmaz Dereli, Dursun Irk and İdris Dağ

Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1227-1233

Abstract: We present a numerical study of the cubic nonlinear Schrödinger equation by using the meshless method based on collocation with radial basis functions. The method is examined for the single soliton solution and interaction of two solitons. The results are compared with the analytical solutions given in the literature.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1227-1233

DOI: 10.1016/j.chaos.2009.03.030

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