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Colombian ocean waves and coasts modeled by special functions

机译：以特殊功能为模型的哥伦比亚海浪和海岸

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Modeling the ocean bottom and surface of both Atlantic and Pacific Oceans near the Colombian coast is a subject of increasing attention due to the possibility of finding oil deposits that haven't been discovered, and as a way of monitoring the ocean limits of Colombia with other countries not only covering the possibility of naval intrusion but as a chance to detect submarine devices that are used by illegal groups for different unwished purposes. In the development of this topic it would be necessary to use Standard Hydrodynamic Equations to model the mathematical shape of ocean waves that will take differential equations forms. Those differential equations will be solved using computer algebra software and methods. The mentioned solutions will involve the use of Special Functions such as Bessel Functions, Whittaker, Heun, and so on. Using the Special Functions mentioned above, the obtained results will be simulated by numerical methods obtaining the typical patterns around the Colombian coasts (both surface and bottom). Using this simulation as a non-perturbed state, any change in the patter could be taken as an external perturbation caused by a strange body or device in an specific area or region modeled, building this simulation as an ocean radar or an unusual object finder. It's worth mentioning that the use of stronger or more rigorous methods and more advanced Special Functions would generate better theoretical results, building a more accurate simulation model that would lead to a finest detection.
机译：由于可能会发现尚未发现的油藏，并作为监测哥伦比亚海洋界限的一种方式，因此对哥伦比亚海岸附近大西洋和太平洋海底和海面的建模越来越受到关注。不仅涵盖了海上入侵的可能性，而且还提供了机会来发现非法团体用于不同目的的潜艇设备。在本主题的发展中，有必要使用标准流体动力学方程来模拟将采用微分方程形式的海浪的数学形状。这些微分方程将使用计算机代数软件和方法求解。提到的解决方案将涉及特殊功能的使用，例如贝塞尔函数，惠特克（Whittaker）和亨（Heun）等。使用上述特殊功能，将通过数值方法模拟获得的结果，以获取哥伦比亚海岸（地表和底部）周围的典型模式。使用此模拟作为非扰动状态，模式的任何变化都可以视为由特定区域或区域中建模的奇怪物体或设备引起的外部扰动，从而将该模拟构建为海洋雷达或不寻常的对象发现者。值得一提的是，使用更强大或更严格的方法以及更高级的特殊功能将产生更好的理论结果，建立更准确的仿真模型，从而可以进行最佳检测。

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