Exact solutions for a nonlinear model

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 p...

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Veröffentlicht in:	Applied mathematics and computation 2010-10, Vol.217 (4), p.1646-1651
Hauptverfasser:	Hernández, Jairo Ernesto Castillo, Salas, Alvaro H., Lugo, José Gonzalo Escobar
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical systems Exact sciences and technology Exact solutions Global analysis, analysis on manifolds Josephson junctions Mathematical analysis Mathematical models Mathematics Nonlinear dynamics Nonlinear PDE Nonlinearity Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Oscillators Partial differential equations Perturbed equation Potential energy Sciences and techniques of general use Sine-Gordon equation Soliton solution Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Traveling wave solution
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Zusammenfassung:	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].
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2009.09.011