A Higher Order Nonlinear Schrödinger Equation

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Published: Apr 30, 2020
DOI: https://doi.org/10.26740/jram.v4n1.p18-34

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Edi Cahyono
[Scopus ID: 6504016075] Universitas Halu Oleo, Indonesia
Muh Zamrun Firihu
Department of Physics FMIPA Universitas Halu Oleo Jl. HEA Mokodompit, Kendari, 93232 Indonesia
I Nyoman Sudiana
Department of Physics FMIPA Universitas Halu Oleo Jl. HEA Mokodompit, Kendari, 93232 Indonesia
Herdi Budiman
Department of Mathematics FMIPA Universitas Halu Oleo Jl. HEA Mokodompit, Kendari, 93232 Indonesia
Muh Kabil Djafar
Department of Mathematics FMIPA Universitas Halu Oleo Jl. HEA Mokodompit, Kendari, 93232 Indonesia

Abstract

Nonlinear Schrödinger (NLS) equation has been widely studied, and it has been appeared in tremendous amount of papers. NLS equation models a wave packet travelling in dispersive and nonlinear media. In this paper, a higher order NLS equation is discussed. The solution, which is complex wave envelope, is investigated numerically for narrow and broad envelope. Broader envelope shows deformation during the evolution, while narrow envelope does not. Another finding is that the fifth order nonlinearity does not contribute significantly to the envelope deformation. Hence, working with higher order will take much effort but insignificant results.

Article Details

Issue
Vol. 4 No. 1 (2020): April, JRAM
Section
Analysis
The copyright of the received article once accepted for publication shall be assigned to the journal as the publisher of the journal. The intended copyright includes the right to publish the article in various forms (including reprints). The journal maintains the publishing rights to the published articles.
 
 
Author Biography

Edi Cahyono, [Scopus ID: 6504016075] Universitas Halu Oleo, Indonesia

Scopus ID: 6504016075 

Sinta ID: 260301

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