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Anjan Biswas, Nyah Coleman, Abdul H. Kara, Salam Khan, Luminita Moraru, Simona Moldovanu, Catalina Iticescu and Yakup Yildirim
This paper secures solitary waves and conservation laws to the familiar Korteweg?de Vries equation and Gardner?s equation with three dispersion sources. The traveling wave hypothesis leads to the emergence of such waves. The three sources of dispersion a...
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Wenjia Hong and Yasushi Horii
Based on the Navier?Stokes equation for compressible media, this work studies the acoustic properties of a human cochlear model, in which the scala vestibuli and scala tympani are filled with compressible perilymph. Since the sound waves propagate as a c...
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Huawei Ji, Chuanping Zhou, Jiawei Fan, Huajie Dai, Wei Jiang, Youping Gong, Chuzhen Xu, Ban Wang and Weihua Zhou
The vibration of flexible structures in spacecraft, such as large space deployable reflectors, solar panels and large antenna structure, has a great impact on the normal operation of spacecraft. Accurate vibration control is necessary, and the control of...
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Oskar Bschorr and Hans-Joachim Raida
The method used to factorize the longitudinal wave equation has been known for many decades. Using this knowledge, the classical 2nd-order partial differential Equation (PDE) established by Cauchy has been split into two 1st-order PDEs, in alignment with...
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Irena Jurdana, Artem Krylov and Julia Yamnenko
The purpose of this article is to propose a solution for the transport problem in sea freight using machine learning algorithms. An important aspect of sea transport is the organization of freight. In particular, the maritime freight network is a large c...
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Michail Manolidis, Mark Orzech and Julian Simeonov
Studies of the nonlinear Schrödinger (NLS) equation indicate that surface gravity waves traveling against currents of increasing strength gain energy and steepness in the process, and this can be a mechanism for rogue wave formation. Likewise, experiment...
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