Structural Stability for a Class of Nonlinear Wave Equations

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Gazi University Journal of Science
Volume:22 Issue:2
Structural Stability for a Class of Nonlinear Wave Equations

Structural Stability for a Class of Nonlinear Wave Equations

Authors : Ülkü DİNLEMEZ

Pages : 83-87

View : 14 | Download : 11

Publication Date : 2010-03-22

Article Type : Other Papers

Abstract :In this paper we discuss the structural stability of an initial value problem defined for the equation u t -u txx + a uu x = b u x u xx +uu xxx insert ignore into journalissuearticles values(i.1); where a , b are constants, x Ğ â , t Ğ â . For the choices of a and b , insert ignore into journalissuearticles values(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 wav e
Keywords :

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