Global Nonexistence of Solution to Coupled Wave Equations with Positive Initial Energy

2012 ◽  
Vol 14 (2) ◽  
pp. 199
Author(s):  
Jieqiong WU ◽  
Shengjia LI
Keyword(s):  
Wave Equations ◽  
Initial Energy ◽  
Positive Initial Energy ◽  
Coupled Wave Equations ◽  
Global Nonexistence ◽  
Coupled Wave

scholarly journals Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Liang Fei ◽  
Gao Hongjun
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Damping ◽  
Initial Energy ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Nonexistence Theorem ◽  
Positive Initial Energy ◽  
Global Nonexistence ◽  
Damping And Source Terms

This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.

Regime independent coupled-wave equations in anisotropic photorefractive media

2009 ◽  
Vol 95 (3) ◽  
pp. 589-596 ◽  
Author(s):  
K. R. Daly ◽  
G. D’Alessandro ◽  
M. Kaczmarek
Keyword(s):  
Wave Equations ◽  
Coupled Wave Equations ◽  
Coupled Wave

Topological solitons, cnoidal waves and conservation laws of coupled wave equations

2013 ◽  
Vol 87 (12) ◽  
pp. 1233-1241 ◽  
Author(s):  
E. V. Krishnan ◽  
A. H. Kara ◽  
S. Kumar ◽  
A. Biswas
Keyword(s):  
Conservation Laws ◽  
Wave Equations ◽  
Cnoidal Waves ◽  
Topological Solitons ◽  
Coupled Wave Equations ◽  
Coupled Wave

Boundary stabilization of compactly coupled wave equations

1997 ◽  
Vol 14 (4) ◽  
pp. 339-359 ◽  
Author(s):  
Vilmos Komornik ◽  
Bopeng Rao
Keyword(s):  
Wave Equations ◽  
Boundary Stabilization ◽  
Coupled Wave Equations ◽  
Coupled Wave

scholarly journals D'Alembert type travelling wave solution for a wave equations on finite interval with coupled initial boundary conditions

2021 ◽  
Author(s):  
Songlin CHEN
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Finite Interval ◽  
Traveling Wave Solutions ◽  
Initial Boundary ◽  
Travelling Wave ◽  
Single Wave ◽  
Coupled Wave Equations ◽  
Solving Equations ◽  
Coupled Wave

The problem of solving equations for a class of coupled wave equations with initial-boundary conditions is discussed by using the results for the problem with initial value in this paper. A coupled wave equations which defined in semi-infinite interval and finite interval are studied respectively, the d’Alembert type traveling wave solutions with finite closed form of the corresponding problems are obtained and the examples are given. This research generalize the corresponding results for single wave equation and .avoid the traditional Fourior series solution.

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