Structural Stability for a Class of Nonlinear Wave Equations
In this paper we discuss the structural stability of an initial value problem defined for the equation ut-utxx+auux=buxuxx+uuxxx (i.1) where a, b are constants, x Ğ â , t Ğ â. For the choices of a and b , (i.1) describe the nonlinear shallow water waves. Upper and lower bounds are derived for energy decay rate in every finite interval [0,T] which reveals that only the lower bound of the energy decays exponentially. Key Words: Degasperis-Procesi equation, Camassa-Holm equation, traveling wave
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- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1988
- Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü