Open AccessPhysical problem in interpreting classical energy of soliton of sine Gordon equation
Author(s) -
Widyaningrum Indrasari,
Esmar Budi,
Sunaryo Sunaryo,
Riser Fahdiran
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1869/1/012191
Subject(s) - sine gordon equation , energy (signal processing) , soliton , sine , hamiltonian (control theory) , energy density , initial value problem , mathematics , total energy , physics , mathematical physics , mathematical analysis , nonlinear system , quantum mechanics , theoretical physics , mathematical optimization , geometry , psychology , displacement (psychology) , psychotherapist
The classical energy of soliton of sine Gordon equation was evaluated by using the Hamiltonian density. We classify the condition at which the energy will be either convergent or divergent. For the convergent energy, we also impose the condition at which the energy is real. We justify that there is a satisfied condition to obtain real energy.