Analisis Solusi Persamaan Burger Sebagai Solusi Soliton Menggunakan Transformasi Hopf-Cole

Authors

  • Ahmad Ripai Jurusan Fisika Universitas Andalas
  • Zulfi Abdullah Jurusan Fisika Universitas Andalas
  • Mahdhivan Syafwan Jurusan Matematika Universitas Andalas

DOI:

https://doi.org/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

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Published

2019-04-01

How to Cite

Ripai, A., Abdullah, Z., & Syafwan, M. (2019). Analisis Solusi Persamaan Burger Sebagai Solusi Soliton Menggunakan Transformasi Hopf-Cole. Jurnal Fisika Unand, 8(2), 171–177. https://doi.org/10.25077/jfu.8.2.171-177.2019

Issue

Vol. 8 No. 2 (2019)

Section

Articles

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Copyright (c) 2019 Ahmad Ripai, Zulfi Abdullah, Mahdhivan Syafwan

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