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Exact solutions for a nonlinear model |
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| Authors: | Jairo Ernesto Castillo Hernández Alvaro H Salas José Gonzalo Escobar Lugo Grupo CIBAVIR |
| Institution: | a Department of Sciences, Universidad Central, Santafé de Bogotá, Colombia, b Department of Mathematics, Universidad Autónoma, Santafé de Bogotá, Colombia c Department of Mathematics, Universidad de Caldas, Manizales, Colombia d Department of Mathematics, Universidad Nacional de Colombia, Manizales, Colombia e Facultad de Tecnolog?´a, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia f Engineering Faculty, Universidad Cooperativa de Colombia, Santafé de Bogotá, Colombia |
| Abstract: | In this paper we show new exact solutions for a type of generalized sine-Gordon equation which is obtained by constructing a Lagrange function for a dynamical coupled system of oscillators. We convert it into a nonlinear system by perturbing the potential energy from a point of view of an approach proposed by Fermi 1]. |
| Keywords: | Sine-Gordon equation Josephson junctions Perturbed equation Nonlinear PDE Traveling wave solution Soliton solution |
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