Starting from Sophus Lie, the invariance of a differential equation
under its continuous group of symmetries has become a major tool
for solving ordinary and partial differential equations, in
particular, nonlinear ones. The proceedings focus on the
application of these techniques to nonlinear partial differential
equations. The state of the art in this field is presented clearly
in a series of comprehensive lectures. Several lectures on
applications point out the physical importance of such methods.
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