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Solitons
Resources at Heriot-Watt University. Meetings, local and other links.
http://www.ma.hw.ac.uk/solitons/
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Doing Physics with Quaternions
A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
http://world.std.com/~sweetser/quaternions/qindex/qindex.html
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Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
http://online.itp.ucsb.edu/online/geom/
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Journal on Applied Clifford Algebra
Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emphasis en the applications to Physics.
http://clifford-algebras.org
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Differential Equations and Oscillations
Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations.
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
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Klaus Brauer's Soliton Page
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in PDF format on finding exact solutions to the KdV equation using the method
http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
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Intrinsic Localized Modes
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
http://www.lassp.cornell.edu/~sievers/ilm/
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On the Origins of Twister Theory
A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
http://users.ox.ac.uk/~tweb/00001/
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Inexplicable Secrets of Creation
Relationships between number theory and physics.
http://www.secamlocal.ex.ac.uk/~mwatkins/isoc/
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Period and energy in one degree of freedom systems
An article by Jorge Rezende, University of Lisbon.
http://gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.pdf
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