Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods

2020 ◽  
pp. 1-13
Author(s):  
Ahmed S. Rashed ◽  
Samah M. Mabrouk ◽  
Abdul-Majid Wazwaz
Keyword(s):  
Wave Propagation ◽  
Forward Scattering ◽  
Linear Wave ◽  
Group Transformation ◽  
Singular Manifold ◽  
Non Linear ◽  
Linear Wave Propagation ◽  
Transformation Methods

Non-Linear Calculation of Tailored Wave Trains for Experimental Investigation of Extreme Structure Behaviour

2004 ◽  
Author(s):  
Gu¨nther F. Clauss ◽  
Janou Hennig ◽  
Christian E. Schmittner ◽  
Walter L. Ku¨hnlein
Keyword(s):  
Experimental Investigation ◽  
Wave Propagation ◽  
Wave Structure ◽  
Linear Wave ◽  
Advantages And Disadvantages ◽  
Non Linear ◽  
Linear Wave Propagation ◽  
Precise Prediction ◽  
Wave Trains ◽  
Wave Models

The experimental investigation of extreme wave/structure interaction scenarios puts high demands on wave generation and calculation. This paper presents different approaches for modelling non-linear wave propagation. Results of numerical simulations from two different numerical wave tanks are compared to models tests. A further approach uses analytical wave models which are combined with empirical terms to allow a fast and precise prediction of non-linear wave propagation for day-to-day use. All approaches can be used either separately or in combination — depending on their particular purpose. As an application, different special wave scenarios — both academic and realistic — are generated and validated by measurements. The advantages and disadvantages of the presented methods are discussed in detail with regard to their appropriate use for investigations of extreme structure behaviour.

Non-Linear Wave Propagation in α-Quartz

1994 ◽  
Vol 25 (9) ◽  
pp. 645-650 ◽  
Author(s):  
P Martin ◽  
S Guizard ◽  
W Joosen ◽  
G Petite
Keyword(s):  
Wave Propagation ◽  
Linear Wave ◽  
Non Linear ◽  
Linear Wave Propagation
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