Indonesian Journal of Applied Mathematics
Vol 2 No 1 (2022): Indonesian Journal of Applied Mathematics Vol. 2 No. 1 April Chapter

Analisis Kestabilan Solusi Soliton pada Persamaan Schrodinger Nonlinier Diskrit Nonlokal

Gusrian Putra (Program Studi Matematika, Jurusan Sains, Institut Teknologi Sumatera)
Hanifah Septaningtiyas (Program Studi Matematika, Jurusan Sains, Institut Teknologi Sumatera)
Elsa Nabila (Program Studi Matematika, Jurusan Sains, Institut Teknologi Sumatera)
Lisa Arianti Br Tarigan (Program Studi Matematika, Jurusan Sains, Institut Teknologi Sumatera)

Article Info

Publish Date
15 Apr 2022

Abstract

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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Journal Info
Indonesian Journal of Applied Mathematics
Website

Abbrev

indojam

Publisher

Institut Teknologi Sumatera

Subject

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Physics

Description

Indonesian Journal of Applied Mathematics is a scientific publication media that publishes articles from the results of research or studies in the field of applied mathematics, focusing on Computational Mathematics, Optimization, Actuarial, Statistics, Numerical Modelling, Mathematical Physics, ...