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A symmetry test for quasilinear coupled systems
SC 99-02 Vladimir V. Sokolov, Thomas Wolf: A symmetry test for quasilinear coupled systems
Abstract: It is well known that the following class of systems of evolution
equations
is very rich in integrable cases.
The complete classification problem is very difficult. Here we consider
only the most interesting (from our opinion) subclass of systems (![[*]](cross_ref_motif.gif)
).
Namely, we consider equations linear in all derivatives of the form
without any restrictions on the functions Ai(u,v), Bi(u,v).
MSC: 35-XX, 34-XX