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

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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
The Bilinear Formula in Soliton Theory of Optical Fibers Saputra, Nando; Ripai, Ahmad; Abdullah, Zulfi
Jurnal Fisika Unand Vol 11 No 3 (2022)
Publisher : Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jfu.11.3.387-392.2022

Abstract

Solitons are wave phenomena or pulses that can maintain their shape stability when propagating in a medium. In optical fibers, they become general solutions of the Non-Linear Schrödinger Equation (NLSE). Despite its mathematical complexity, NLSE has been an interesting issue. Soliton analysis and mathematical techniques to solve problems of the equation keep doing. Yan & Chen (2022) introduced them based on bilinear formula for the case of the generalized NLSE extended models into third and fourth-order dispersions and cubic-quintic nonlinearity. In this paper, we review the form of the bilinear formula for the case. We re-observed a one-soliton solution based on the formula and verified the work of the last researcher. Here, the mathematical parameters of position α(0) and phase η are verified to become features of change in horizontal position and phase of one soliton in the (z, t) plane during propagation. In addition, we notice the soliton has established stability. Finally, for the condition Kerr effect focusing or the group velocity dispersion β2 more dominates, we present like the soliton trains in optical fibers under modulation instability of plane wave.
Perbandingan Algoritma K-means, Fuzzy C-means, dan Hierarchical clustering pada Klasterisasi Tingkat Pemahaman Siswa dalam Pembelajaran Berdiferensiasi Ripai, Ahmad; Baskoro, Yudha; Imelda
Jurnal Algoritma Vol 22 No 2 (2025): Jurnal Algoritma
Publisher : Institut Teknologi Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33364/algoritma/v.22-2.2890

Abstract

Differentiated learning is a teaching and learning process tailored to the unique characteristics of each student. The main challenge in implementing differentiated learning lies in teachers’ difficulty in understanding the varying levels of students’ comprehension, particularly in informatics subjects. This study aims to compare the K-means, Fuzzy C-means, and Hierarchical Clustering algorithms in grouping students based on academic performance, using daily scores, knowledge, and skill scores of grade X students at SMK Citra Nusantara. The contribution of this research is the application of weighting on the parameters used to improve clustering results. The assigned weights are 0.2 for daily scores, 0.4 for knowledge, and 0.4 for skills when using three parameters, giving a smaller weight to daily scores. If only two parameters are used, the weighting is adjusted so that the total weight equals 1. The evaluation metrics applied are the Silhouette Index, Calinski-Harabasz Index, and Davies-Bouldin Index. The results show that the K-means method outperforms Fuzzy C-means and Hierarchical Clustering. The Silhouette Index is considered the most ideal because it evaluates two aspects simultaneously: cohesion (compactness within clusters) and separation (distinctness between clusters). However, a combination of the Silhouette Index, Davies-Bouldin Index, and Calinski-Harabasz Index is still required to achieve optimal results. The testing results for K-means, evaluated using the Silhouette Index, Davies-Bouldin Index, and Calinski-Harabasz Index, respectively, are 0.350125, 0.822452, and 1157.806. The best clustering outcome with two clusters categorized students into “very good” and “good” groups.
NILAI PENDIDIKAN KARAKTER DALAM NOVEL ANTARES KARYA RWEINDA BERBASIS TOKOH DAN KONTRIBUSINYA PADA PEMBELAJARAN BAHASA INDONESIA DI TINGKAT SMA Supriyanti, Endang; Umaya, Nazla Maharani; Ripai, Ahmad
Bahterasia : Jurnal Ilmiah Pendidikan Bahasa dan Sastra Indonesia Vol 7, No 1 (2026): Februari
Publisher : Program Studi Pendidikan Bahasa Indonesia FKIP UMSU

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30596/jpbsi.v7i1.27990

Abstract

Penelitian ini bertujuan mengidentifikasi nilai pendidikan karakter dalam novel Antares serta menganalisis kontribusinya terhadap pembelajaran bahasa Indonesia di tingkat SMA. Kajian ini dilatarbelakangi oleh pentingnya integrasi pendidikan karakter dalam pembelajaran sastra sebagai upaya membentuk kepribadian peserta didik secara holistik. Penelitian menggunakan pendekatan kualitatif deskriptif dengan teknik pengumpulan data berupa teknik baca dan catat. Data penelitian berupa kutipan narasi dan dialog yang mengandung nilai pendidikan karakter. Analisis data dilakukan melalui reduksi data, klasifikasi nilai karakter, interpretasi, dan penarikan kesimpulan. Hasil penelitian menunjukkan terdapat 13 nilai pendidikan karakter yang dominan, meliputi religius, tanggung jawab, disiplin, kerja keras, kepedulian sosial, serta kejujuran. Nilai karakter tersebut direpresentasikan melalui perilaku tokoh utama dan tokoh pendukung. Temuan penelitian menunjukkan bahwa novel Antares memiliki potensi sebagai bahan ajar sastra yang mendukung penguatan pendidikan karakter dalam pembelajaran bahasa Indonesia. Penelitian ini memberikan kontribusi konseptual dalam pengembangan model pembelajaran sastra berbasis karakter melalui analisis tokoh dalam karya sastra populer remaja.
Pragmalinguistik Tuturan Guru Bahasa Indonesia SMP dalam Pembelajaran di Kelas Septiana, Ika; Muhajir, Muhajir; Ripai, Ahmad
Paedagogie Vol 21 No 1 (2026)
Publisher : Universitas Muhammadiyah Magelang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31603/paedagogie.v21i1.16322

Abstract

The importance of teacher communication in creating communicative, interactive, and responsive interactions during classroom learning with students. This certainly makes language in speech an important tool as a means of communication in conveying learning materials, giving instructions, directing, and motivating students during the learning process. The use of appropriate speech can increase student interaction and involvement during the learning process. Pragmalinguistics is a combination of two disciplines of pragmatics and linguistics. In communication activities, pragmalinguistics has an important role related to language politeness and sentence structures used in communication. The purpose of this article is to describe teacher speech acts in the process of learning Indonesian in the classroom. The research method uses a qualitative approach. Data collection was carried out through classroom observation. The study was conducted during Indonesian language learning for grade VII junior high school students. The subjects of this study were Indonesian language teachers and grade VII students of SMP Negeri 37 Semarang City. Data analysis was carried out by categorizing speech acts based on Lech's theory of locution, illocution, and perlocution. The research results show that the pragmalinguistics of Indonesian language teachers' speech in junior high school learning include several speech acts, including illocutionary acts to convey information, commands, and questions. Illocutionary acts are used to give orders, requests, or express emotions. Perlocutionary acts are used to influence students to take action. These three speech acts support effective learning interactions in the classroom.