scholarly journals Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

2017 ◽  
Vol 7 ◽  
pp. 991-994
Author(s):  
Usamah S. Al Ali ◽  
Ashfaque H. Bokhari ◽  
A.H. Kara ◽  
F.D. Zaman
Keyword(s):  
Wave Equation ◽  
Conservation Laws ◽  
Power Law ◽  
Damped Wave Equation ◽  
Invariance Properties ◽  
Nonlinear Damped Wave Equation

scholarly journals On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-11
Author(s):  
Usamah S. Al-Ali ◽  
Ashfaque H. Bokhari ◽  
A. H. Kara ◽  
F. D. Zaman
Keyword(s):  
Wave Equation ◽  
Conservation Laws ◽  
Wave Equations ◽  
Lie Symmetries ◽  
Damped Wave Equation ◽  
Variable Damping ◽  
Nonlinear Damped Wave Equations ◽  
Nonlinear Damped Wave Equation ◽  
Similarity Reductions

We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equationutt+fuut=div(gugrad u)with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.

Global solutions and finite time blow-up for fourth order nonlinear damped wave equation

2018 ◽  
Vol 59 (6) ◽  
pp. 061503 ◽  
Author(s):  
Runzhang Xu ◽  
Xingchang Wang ◽  
Yanbing Yang ◽  
Shaohua Chen
Keyword(s):  
Wave Equation ◽  
Fourth Order ◽  
Finite Time ◽  
Blow Up ◽  
Global Solutions ◽  
Damped Wave Equation ◽  
Nonlinear Damped Wave Equation

scholarly journals Nonlinear damped wave equation: Existence and blow-up

2017 ◽  
Vol 74 (12) ◽  
pp. 3024-3041 ◽  
Author(s):  
Salim A. Messaoudi ◽  
Ala A. Talahmeh ◽  
Jamal H. Al-Smail
Keyword(s):  
Wave Equation ◽  
Blow Up ◽  
Damped Wave Equation ◽  
Nonlinear Damped Wave Equation

The Stochastic Nonlinear Damped Wave Equation

2002 ◽  
Vol 46 (2) ◽  
pp. 125-141 ◽  
Author(s):  
Viorel Barbu ◽  
Giuseppe Da Prato
Keyword(s):  
Wave Equation ◽  
Damped Wave Equation ◽  
Nonlinear Damped Wave Equation
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