Titlebook: Nonlinear Physics with Maple for Scientists and Engineers; Richard H. Enns,George C. McGuire Textbook 2000Latest edition Springer Science+

Transfusion

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Topological Analysis.32), . would, of course, be replaced with .,the spatial coordinate. The mathematician would refer to this set of equations as being autonomous, meaning that . and . do not explicitly depend on . Why it is desirable to restrict the discussion for the moment to autonomous equations will become readily apparent..

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Inverse Scattering Methodd to give the reader the flavor of a more advanced topic in nonlinear physics. As you will see, the inverse scattering method derives its name from its close mathematical connection for the KdV case to the quantum mechanical scattering of a particle by a localized potential or tunnelling through a barrier.

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Introduction to Nonlinear Experimentsr that imagination is as important as knowledge, so exercise yours whenever possible. But please be careful, as exposure to nonlinear activities can be addictive, can provide fond memories, and can awaken an interest that lasts a lifetime.

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Forced Oscillatorsuency. In mechanical terms, the lhs of the Duffing equation can be thought of as a damped nonlinear spring. With the forcing term on the rhs included, the following special cases have been extensively studied in the literature:

Conjuction

Numerical Simulationther case, the starting point is the representation of the partial derivatives by finite difference approximations. This may be easily accomplished by generalizing the treatment outlined in Chapter 6 for nonlinear ODEs.

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as well as an introduction to some simple related nonlinear experimental activities. Students in engineering, phys­ ics, chemistry, mathematics, computing science, and biology should be able to successfully use this book. In an effort to provide the reader with a cutting edge approach to one of the

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