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Method of group foliation and non-invariant solutions of partial differential equations

✍ Scribed by M.B. Sheftel


Book ID
111620368
Publisher
Springer
Year
2002
Tongue
English
Weight
115 KB
Volume
29
Category
Article
ISSN
1434-6036

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Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary