César A. Gómez S.

Departamento de Matemáticas Universidad Nacional de Colombia Cr. 30 Cll. 45 Bogotá, Colombia

e-mail: cagomezsi@unal.edu.co

Abstract. We consider a new fifth-order integrable system. The exact solutions are obtained by the generalized tanh method.

Keywords and phrases. Nonlinear differential equation; travelling wave solution; generalized tanh method.

2000 Mathematics Subject Classification. Primary: 35Q53. Secondary: 35Q51.

Resumen. Nosotros consideramos un nuevo sistema integrable de quinto orden. Obtenemos las soluciones exactas de dicho sistema por el método tanh generalizado.

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(Recibido en junio de 2006. Aceptado en septiembre de 2006)