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2.1 What is a wave? A wave is a spatial form that translates in space while maintaining its shape. In general, a wave traveling in the x-direction can be represented by the function of the form f( ), where = x ct x0, so that. where c and x0 are constants, and u is whatever scalar physical quantity that constitutes the wave.
Introduction to the Wave Equation(s) 1.1 First Order Linear Wave Equation First, x represents space and t represents time. Consider on an infinite domain (1 <x< 1), the linear first order wave equation is, @ @t +c @ @x =0 (1.1) for real, constant c>0. As (1.1) is first order in time, we need a single initial condition of (x,t =0)=0(x). (1.2)
14 lip 2023 · An introduction to the mathematical theory of waves by Knobel, Roger, 1962-Publication date 2000 Topics Wave-motion, Theory of ... Pdf_module_version 0.0.23 Ppi 360 Rcs_key 24143 Republisher_date ... Full catalog record MARCXML. plus-circle Add Review. comment. Reviews
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Lecture 1: Mathematical Modeling and Physics (PDF) Lectures 2–3: Simple Harmonic Oscillator, Classical Pendulum, and General Oscillations (PDF) Lecture 4: Damped Oscillations (PDF)
Examples include water waves, sound waves, electro-magnetic waves (radio waves, light, X-rays, gamma rays etc.), the waves that in quantum mechanics are found to be an alternative (and often better) description of particles, etc.
Wave motion is a mechanism for energy communication over large distances without any necessary bulk motion of the medium. • Waves are not necessarily oscillatory, e.g. one-signed pulse on a string. • Waves do not necessarily have small amplitudes, e.g. shocks, breaking waves.
