PERHITUNGAN MASSA KLASIK SOLITON
(1) Program Studi Teknik Informatika Fakultas Teknik, Matematika dan Ilmu Pengetahuan Alam Universitas Indraprasta PGRI
(*) Corresponding Author
Abstract
This study aims is to describes the mass of the classical soliton solutions by using Sine-Gordon equation. the method used in this research is literature study by performing calculations through the stages of the calculation of the classical mass density of the Lagrangian and Hamiltonian. This resulting classical mass differ depending on each trial value of D from a given Lagrangian. There are convergent with the condition of mass greater than zero and some are divergent. Soliton solutions of the Sine-Gordon equation shows that the soliton behaves as a relativistic particle. Wave phenomena such as these play an important role in relation to the nature of the particles through nonlinear wave equations.
Keyword: Sine-Gordon equation, soliton solutions, the classical mass.
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Miftahul Hadi. 2005. Berkenalan dengan Soliton. Pusat Penelitian Lembaga Ilmu Pengetahuan Indonesia. Diambil dari http://agorsilokusains.blogspot.co.id/2006/06/ berkenalan-dengan-soliton.html
Wazwaz, Abdul Majid. 2009. Partial Differential Equations and Solitary Waves Theory. Berlin: Springer.
Ahmad Ridwan, dkk. Studi Teoritik Eksperimen Gelombang Permukaan Air dan Soliton pada Air Dangkal. FMIPA Institut Teknologi Bandung. Bandung.
J. S. Russel. 1884. Report on Waves. Ref. 14th Meet. British.
Hermann, Robert. 1982. Interdisciplinary Mathematics Volume XII. Broolline. Math Science Press.
Ryder, Lewis H. 1985. Quantum Field Theory Second Edition. Cambridge University. Inggris.
P. G. Drazin. 1983. Introduction to Solitons. Cambridge University. Inggris.
Susani, Fitri. 2011. Studi Solusi Persamaan Sine-Gordon. Jakarta: Universitas Negeri Jakarta.
Wospakrik, Hans Jacobus. 2005. Journal of Theoretical and Computational Studies: Soliton and Particle. Volume 4 Number 0308. LIPI Puspitek Serpong. Tangerang, Indonesia.
DOI: http://dx.doi.org/10.30998/faktorexacta.v9i4.1141
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