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

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

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.

On the Parametrical Excitation of Nonlinearly Coupled Wave Equations

1995 ◽  
Author(s):  
A. H. P. van der Burgh ◽  
P. Kuznetsov ◽  
S. A. Vavilov
Keyword(s):  
Wave Equations ◽  
Operator Method ◽  
Dynamical Behaviour ◽  
Existence Theory ◽  
Rigorous Analysis ◽  
Coupled Wave Equations ◽  
Time Periodic Solutions ◽  
Transversal Vibrations ◽  
Time Periodic ◽  
Coupled Wave

Abstract In this paper a mathematical model for the study of the interaction of longitudinal and transversal vibrations in a stretched string is presented. The study implies an existence theory for time periodic transversal vibrations generated by a horizontal excitation of one of the end-points of the string. The conditions for the existence of this parametrically excited time periodic vibrations are evaluated in a practical application. The innovative character of the results obtained concern the application of an operator method to a system of nonlinearly coupled wave equations modeling the dynamical behaviour of a strectched string where unite elasticity is taken into account. It may be known that in the literature little attention has been paid to a rigorous analysis of time periodic solutions for systems of partial differential equations.

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