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Analisis Kestabilan Solusi Soliton pada Persamaan Schrodinger Nonlinier Diskrit Nonlokal

Indonesian Journal of Applied Mathematics · Vol. 2 No. 1 (2022)

DOI
10.35472/indojam.v2i1.730
ISSN
2774-2016, 2774-2067
Terbit
2022-04-15
Penerbit
Institut Teknologi Sumatra
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

In this paper, the Nonlocal Discrete Nonlinear Schrodinger (DNLS) equation that interpolates the Nonlocal Ablowitz-Ladik DNLS and the Nonlocal Cubic DNLS equations and its stability are studied in detail. The solution of the Nonlocal SNLD equation is a soliton wave in the form of a Gaussian ansatz obtained using the method of Variational Approximation (VA). The stability of the solution is also analyzed using the VA. These semi-analytical results are then compared to numerical results. The soliton and its stability obtained via VA is concluded to be having a fairly good conformity with numerical results.

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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>Analisis Kestabilan Solusi Soliton pada Persamaan Schrodinger Nonlinier Diskrit Nonlokal</dc:title><dc:creator>Putra, Gusrian</dc:creator><dc:creator>Septaningtiyas, Hanifah</dc:creator><dc:creator>Nabila, Elsa</dc:creator><dc:creator>Arianti Br Tarigan, Lisa</dc:creator><dc:description>&lt;jats:p&gt;In this paper, the Nonlocal Discrete Nonlinear Schrodinger (DNLS) equation that interpolates the Nonlocal Ablowitz-Ladik DNLS and the Nonlocal Cubic DNLS equations and its stability are studied in detail. The solution of the Nonlocal SNLD equation is a soliton wave in the form of a Gaussian ansatz obtained using the method of Variational Approximation (VA). The stability of the solution is also analyzed using the VA. These semi-analytical results are then compared to numerical results. The soliton and its stability obtained via VA is concluded to be having a fairly good conformity with numerical results.&lt;/jats:p&gt;</dc:description><dc:publisher>Institut Teknologi Sumatra</dc:publisher><dc:date>2022-04-15</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.35472/indojam.v2i1.730</dc:identifier><dc:identifier>10.35472/indojam.v2i1.730</dc:identifier><dc:source>Indonesian Journal of Applied Mathematics; Vol 2 No 1 (2022); 17</dc:source><dc:source>2774-2016</dc:source><dc:source>2774-2067</dc:source><dc:relation>https://journal.itera.ac.id/index.php/indojam/article/download/730/296</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc/4.0</dc:rights></oai_dc:dc>