Internal oscillation frequencies and anharmonic effects for the double sine-Gordon kink | Zendy

Mario Salerno | Zendy; M. R. Samuelsen | Zendy

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Internal oscillation frequencies and anharmonic effects for the double sine-Gordon kink

Author(s) -

Mario Salerno,

M. R. Samuelsen

Publication year - 1989

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.39.4500

Subject(s) - physics , anharmonicity , oscillation (cell signaling) , sine , sine gordon equation , quantum electrodynamics , classical mechanics , mathematical physics , quantum mechanics , nonlinear system , mathematics , soliton , genetics , geometry , biology

A simple derivation of the small oscillation frequency around 4π-kink solutions of the double sine-Gordon equation is presented. Small corrections to these frequencies due to anharmonic effects are also numerically and analytically investigated. The analysis is based on energetic considerations and on the mechanical interpretation of a 4π kink as two point particles connected by a spring

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