Plenary Lecture

Signaling Problem of Wave Evolution

Professor Edi Cahyono
Department of Mathematics
University of Halu Oleo

Abstract: We consider surface wave evolution. At an initial point the wave profile is given as a prescribed signal. For practical needs in hydrodynamics laboratories, the waves are usually measured downstream at several points. In the case of traveling waves, the signals downstream are merely translated temporally from the ones at the initial points. In general, this does not occur. Waves may provide much different signal profiles at different points.
We focus on waves governed by a KdV type equation. We present the changes of the wave profiles at several points. The waves which are the solutions of KdV type equation are computed analytically by applying perturbation method. The solution is in a series expansion of two parameters, i. e. amplitude and frequency difference. We show that these parameters are responsible for the profile change of the solution at several points. The profile change is mainly due to the so-called side band interactions.

Brief Biography of the Speaker: He was awarded a Doctor in Applied Analysis and Mathematical Physics University of Twente, the Netherlands in 2002. Upon completion of his PhD degree, he was appointed as a Lecturer in the Department of Mathematics, Universitas Halu Oleo, Kendari Indonesia. In 2010 he was promoted to Professor of Industrial and Applied Mathematics. His main research areas are focused on Partial Differential Equations and applications. For the case of diffusion equation, he has applied it for modeling of wood drying in an industry. Currently, he has been working on the relation of fundamental solution type with temporal probability density function of stock, currency and index dynamics.

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