Nonlinear Systems. Part II

Richard H. Enns and George C. McGuire
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Richard H. Enns: Simon Fraser University, Department of Physics
George C. McGuire: University College of the Fraser Valley, Department of Physics

Chapter Chapter 3 in Nonlinear Physics with Mathematica for Scientists and Engineers, 2004, pp 81-124 from Springer

Abstract: Abstract Patterns pervade the world of nature as well as the world of the intellect. In the biological realm we are quite familiar with the stripes on a zebra, the spots on a leopard, and the colorful markings of certain birds, fish, and butterflies. In the physical world we may have noticed the pretty fringe patterns which occur when thin films of oil spread on a road surface or the wonderful shapes that ice crystals can assume when trees are coated after an ice storm. If we go into a wallpaper shop, we can be overwhelmed by the wide variety of patterns available, the patterns created by someone’s artistic imagination. If we talk to a scientist we will soon find that his or her goal in life is usually to discover (impose?) some underlying pattern to the phenomena under investigation and then attempt to mathematically model that pattern. In this section, we shall look at some attempts to understand or create patterns through the use of nonlinear modeling and concepts. Our first example is from the world of chemistry.

Keywords: Solitary Wave; Cellular Automaton; Solitary Wave Solution; Optical Soliton; Bright Soliton (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0211-0_3

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DOI: 10.1007/978-1-4612-0211-0_3

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