A nonconvex dissipative system and its applications (II)

Authors:
Zhaosheng Feng;David Y. Gao
Affiliations:
Department of Mathematics, University of Texas-Pan American, Edinburg, USA 78541;Department of Mathematics, Virginia Tech. University, Blacksburg, USA 24061
Venue:
Journal of Global Optimization
Year:
2008

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Abstract

This paper presents exact solutions in terms of implicit functions and hyperbolic functions to a nonconvex dissipative system, controlled by a Duffing---van der Pol nonlinear equation with a fifth-order nonlinearity. Applications to the complex Ginzburg---Landau equation are illustrated and several classes of uniformly translating solutions are obtained accordingly.