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All Journal Jurnal Fisika Unand Jurnal Ilmu Fisika
Ahmad Ripai
Theoretical Physics Laboratory, Department Of Physics, Faculty Of Mathematics And Natural Sciences, Universitas Andalas, Kampus Unand Limau Manis, Padang 25163, Indonesia
Astronomy Earth & Planetary Sciences Electrical & Electronics Engineering Energy Materials Science & Nanotechnology Physics

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Analisis Solusi Persamaan Burger Sebagai Solusi Soliton Menggunakan Transformasi Hopf-Cole Ahmad Ripai; Zulfi Abdullah; Mahdhivan Syafwan
Jurnal Fisika Unand Vol 8, No 2 (2019)
Publisher : Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (307.114 KB) | DOI: 10.25077/jfu.8.2.171-177.2019

Abstract

Telah dilakukan penelitian untuk menganalisis solusi persamaan Burger dengan menggunakan transformasi Hopf-Cole. Penelitian ini dilatarbelakangi oleh perbedaan solusi yang diperoleh pada persamaan Burger saat mekanisme penyelesaian persamaan ini menggunakan transformasi Hopf-Cole dilandaskan pada transformasi Fourier dan separasi variabel (deret Fourier). Penelitian ini dilakukan dengan mencari solusi persamaan Burger menggunakan transformasi Hopf-Cole melalui mekanisme penyelesaian yang berlandaskan pada transformasi Fourier dan separasi variabel (deret Fourier). Berdasarkan analisis solusi soliton pada persamaan Burger, hanya mekanisme penyelesaian yang berlandaskan transformasi Fourier yang berhasil menemukan solusi soliton walaupun hanya stabil dalam selang waktu 0.1 s. Mekanisme penyelesaian yang berlandaskan separasi variabel (deret Fourier) menghasilkan solusi periodik berupa gelombang meluruh terhadap waktu.Kata kunci: deret Fourier, persamaan Burger, soliton, transformasi Hopf-Cole, transformasi Fourier
Benchmarking of the Split-Step Fourier Method on Solving a Soliton Propagation Equation in a Nonlinear Optical Medium Ahmad Ripai; Zulfi Abdullah; Mahdhivan Syafwan; Wahyu Hidayat
Jurnal Ilmu Fisika Vol 12 No 2 (2020): September 2020
Publisher : Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jif.12.2.105-112.2020

Abstract

Benchmarking of the numerical split-step Fourier method in solving a soliton propagation equation in a nonlinear optical medium is considered. This study is carried out by comparing the solutions calculated by numerics with those obtained by analytics. In particular, the soliton propagation equation used as the object of observation is the nonlinear Schrödinger (NLS) equation, which describes optical solitons in optical fiber. By using the split-step Fourier method, we show that the split-step Fourier method is accurate. We also confirm that the nonlinear and dispersion parameters of the optical fiber influence the soliton propagation.
An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method Zulfi Abdullah; Trengginas Eka Putra Sutantyo; Mahdhivan Syafwan; Ahmad Ripai; Hanifah Azzaura Musyayyadah; Mohamad Nazri Abdul Halif
Jurnal Ilmu Fisika Vol 15 No 1 (2023): March 2023
Publisher : Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jif.15.1.13-21.2023

Abstract

We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending on the fiber attenuation constant of α. Considering fiber loss features on the equation, we write one set modification of the NLSE and make models the main topic of our work. We solved the model and found a straightforward analytical solution of modified NLSE for the system via the direct solution method. To the best of our knowledge, no literature has presented such as solution yet. By substituting them into equations, we validate solutions. It is valid as an exact solution to the NLSE. Lastly, we found a solution offering soliton propagation suitable for the system under study.
Co-Authors Hanifah Azzaura Musyayyadah Mohamad Nazri Abdul Halif Syafwan, Mahdhivan Trengginas Eka Putra Sutantyo Wahyu Hidayat Zulfi Abdullah