known wave phenomena, the linear wave equation and the nonlinear Korteweg-de Vries equation in some detail by way of examples. To supplement this discussion we provide brief details of other types of wave equation and their application; and, finally, we introduce a number of PDE wave solution...
G . Whitham, "Linear and Nonlinear Waves," Wily, NY 1976, p9.6Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley-Interscience.G.B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974)G. Whitham, "Linear andNonlinearWaves,"Wily, NY 1976,p. 27...
Generation of linear and nonlinear waves in numerical wave tank using clustering technique-volume of fluid method model is used to model the turbulent flow. The Navier-Stokes equations are discretized using the staggered grid finite difference method and solved by the ... H Saghi,MJ Ketabdari,S...
Olver a characteristic curve of the nonlinear wave equation (2.27) to be a solution to the ordinary di?erential equation dx = u(t, x). (2.28) dt As such, the characteristics depend upon the solution u, which, in turn, is to be speci?ed by its characteristics. We appear to be ...
Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle G . Whitham, "Linear and Nonlinear Waves," Wily, NY 1976, p9.6G. B. Whitham, Linear and Nonlinear Waves (John Wiley & Sons, New York 1974)... Seabra-Santos,Fernando,J.,... -...
Light propagating in linear and nonlinear waveguide lattices exhibits behaviour characteristic of that encountered in discrete systems. The diffraction properties of these systems can be engineered, which opens up new possibilities for controlling the flow of light that would have been otherwise impossible...
The transition from linear to nonlinear response with increasing voltage level is investigated as a function of the magnetic field (filling factor), the polarity of the applied pulse, and the temperature. Damping originates from the penetration of the wave into the bulk of the two-dimensional ...
The linear and nonlinear thermocapillary instability of a liquid layer located above or below a thick horizontal wall with slip effect under gravity is investigated for the first time. A nonlinear evolution equation for the free surface deformation is obtained under the lubrication approximation. The ...
wave generating models,and the momentum source wave absorbing method can dissipate the wave energy effectively.Meanwhile,the superiority-inferiority between the two source methods is compared,and results show that the momentum source wave making method is more susceptible to the nonlinear provided ...
Boo SY (2002) Linear and nonlinear irregular waves and forces in a numerical wave tank. Ocean Eng 29:475–493 View ArticleBoo , S. Y. , 2002. Linear and nonlinear irregular waves and forces in a numerical wave tank , Ocean Engineering , 29 (5) : 475～493....