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All Journal JOURNAL ONLINE OF PHYSICS Jurnal Fisika : Fisika Sains dan Aplikasinya
Herry F. Lalus
Universitas Nusa Cendana
Astronomy Earth & Planetary Sciences Electrical & Electronics Engineering Materials Science & Nanotechnology Physics

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PENERAPAN ALGORITMA DEMINA-KUDRYASHOV DALAM MENENTUKAN SOLUSI MEROMORFIK PERSAMAAN OSTROVSKY Herry F. Lalus
Jurnal Fisika : Fisika Sains dan Aplikasinya Vol 1 No 1 (2016): Jurnal Fisika : Fisika Sains dan Aplikasinya
Publisher : Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (622.751 KB) | DOI: 10.35508/fisa.v1i1.518

Abstract

Abstrak Persamaan Ostrovsky merupakan persamaan diferensial parsial nonlinear yang dapat ditemukan dalam fenomena fisis seperti tsunami. Persamaan ini telah memiliki banyak solusi khusus analitik terutama untuk menggambarkan penjalaran gelombang soliton. Salah satu solusi khusus yang terkenal berupa solusi tanh kuadrat atau dapat juga dinyatakan dalam sech kuadrat. Paper ini mengkaji solusi meromorfik persamaan Ostrovsky dengan menggunakan algoritma Demina-Kudryashov. Mula-mula, persamaan Ostrovsky ditransformasi ke dalam bentuk persamaan diferensial biasa nonlinear menggunakan model penjalaran gelombang dan selanjutnya diterapkan algoritma tersebut untuk memperoleh solusi meromorfik berdasarkan pada uraian Laurentnya. Solusi yang diperoleh berupa solusi periode tunggal, solusi periode ganda (solusi eliptik), dan solusi rasional, di mana solusi-solusi ini bersifat umum. Pada akhirnya, ditampilkan suatu solusi khusus berupa solusi tanh kuadrat sebagai pemilihan keadaan khusus berdasarkan salah satu solusi meromorfik. Kata kunci : solusi meromorfik; algoritma Demina-Kudryashov; persamaan Ostrovsky. Abstract Ostrovsky equation is a nonlinear partial diferential equation which we found in many problems of physics such as tsunami. This equation has many special analytical solutions especially for describing the travelling of soliton. One of the famous special solution is containing quadratic tanh term or we can express it in sech term. In this paper, the meromorphic solutions of Ostrovsky equation have analyzed by using Demina-Kudryashov algorithm. Firstly, this equation was transformed to nonlinear ordinary differential equation by using travelling wave model and then by using this algorithm and based on Laurent series, the meromorphic solutions can be contructed. Finally, the general solutions was found. These solutions take form in three types, such as simply periodic, doubly periodic (elliptic solutions), and rational solution. And then, the special solution of this equation was showed by choosing a special condition. Keywords : meromorphic solutions; Demina-Kudryashov algorithm; Ostrovsky equation.
ANALISIS KESTABILAN SISTEM DINAMIK PARTIKEL DALAM MEDAN POTENSIAL HARDCORE DOUBLE YUKAWA Herry F. Lalus; Yusniati H. Muh. Yusuf
Jurnal Fisika : Fisika Sains dan Aplikasinya Vol 4 No 2 (2019): Jurnal Fisika : Fisika Sains dan Aplikasinya
Publisher : Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (254.017 KB) | DOI: 10.35508/fisa.v4i2.1826

Abstract

Abstrak Paper ini mengkaji sistem dinamik partikel yang bergerak dalam pengaruh medan potensial Hardcore Double Yukawa (HCDY) [1]. Kajian ini difokuskan pada analisis kondisi stabil sistem dinamik dengan memanfaatkan sifat kestabilan linear. Massa partikel dalam sistem ini ditinjau sebagai fungsi koordinat, sehingga berbentuk lebih umum. Potensial HCDY digunakan dalam mengkonstruksi Hamiltonian sistem dan selanjutnya dipakai untuk menentukan matriks Jacobinya. Selanjutnya, nilai eigen matriks menjadi dasar menganalisis kestabilan sistem dinamik ini. Untuk sistem dengan potensial jenis ini, hanya dimungkinkan dua jenis kestabilan, yaitu saddle dan rotor. Syarat-syarat untuk kedua jenis kestabilan ini juga ditampilkan. Kata kunci: potensial Hard Core Double Yukawa; sistem dinamik; keadaan stabil Abstract This paper discusses the dynamical sistem of particle that move under the influence of the Hard Core Double Yukawa (HCDY) potential field[1]. This study focuses on analyzing the stable condition of the dynamical sistem by utilizing the nature of linear stability. The mass of particle in this system is depend on coordinate function, so its form is more general. The HCDY potential is used in constructing the Hamiltonian system and then used to determine the Jacobian matrix.Futhermore, the matrix eigenvalue is the basis for analyzing the stability of this dyanamical system. For systems with this type of potential, only two types of stability are possible, namely saddle and rotor. The conditions for both types of stability are also displayed. Keywords: Hard Core Double Yukawa potential; dynamical system; stability
A QUADRATIC-QUARTIC-QUINTIC (QQQ) PERTURBATION ON HARMONIC OSCILLATOR: HAMILTONIAN MATRIX REPRESENTATION Herry F. Lalus
Jurnal Fisika : Fisika Sains dan Aplikasinya Vol 5 No 2 (2020): Jurnal Fisika : Fisika Sains dan Aplikasinya
Publisher : Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Abstract This paper discusses a one-dimensional harmonic oscillator system subjected to simultaneous quadratic-quartic-quintic perturbation. The main objective of this paper is to calculate the matrix representation of its Hamiltonian. To keep more generally, these three perturbation terms use different small parameters. The method used in this paper is the standard algebraic method using Dirac notation with the bases that have also been shown. The results of the analysis that has been carried out, it is obtained in the form of the Hamiltonian matrix representation of this system which contains the three different small parameters. If the three parameters are chosen to be zero (without perturbation), the matrix form will be reduced to a standard harmonic oscillator matrix.Keywords: QQQ perturbation; harmonic oscillator, Hamiltonian matrix representation.
ANALISIS LAGRANGIAN NULL NONSTANDAR DAN FUNGSI GAUGE UNTUK HUKUM INERSIA NEWTON : SEBUAH REVIEW Amelia A.P Ambot; Herry F. Lalus; Hartoyo Yudhawardana
JOURNAL ONLINE OF PHYSICS Vol. 9 No. 1 (2023): JOP (Journal Online of Physics) Vol 9 No 1
Publisher : Prodi Fisika FST UNJA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/jop.v9i1.25909

Abstract

This paper describes a review of a journal entitled 'Nonstandard Null Lagrangians and Gauge Functions for Newtonian Law of Inertia' which discusses Nonstandard Lagrangian Null solutions for Newton's Law of Inertia. The purpose of this study is to present in detail the Lagrangian Formalism method for generating Nonstandard Lagrangian Null and its Gauge function for Newton's Law of Inertia, as well as the role of action invariant in generating Lagrangian Null and Exact Gauge functions, by deriving a one-dimensional oscillator arm using the basic Lagrangian equations. The Nonstandard Null Lagrangian is derived from the Nonstandard Lagrangian, then the two Lagrangian Null are entered into the action invariant to make it Exact, after the Nonstandard Lagrangian Null is declared Exact, it is substituted into  which represents Newton's Law of Inertia. The results of this research show that an Exact Nonstandard Lagrangian Null can be generated by making the Gauge Function Invariant, so that the first Nonstandard Lagrangian Null and Gauge Function for Newton's Law of Inertia are obtained.
Co-Authors Amelia A.P Ambot Hartoyo Yudhawardana Yusniati H. Muh. Yusuf