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Group classification of the general evolution equation: local and quasilocal symmetries - MaRDI portal

Group classification of the general evolution equation: local and quasilocal symmetries (Q2495120)

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Group classification of the general evolution equation: local and quasilocal symmetries
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    Group classification of the general evolution equation: local and quasilocal symmetries (English)
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    4 July 2006
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    The authors briefly review their results [\textit{P. Bassarab-Horwath, V. Lahno} and \textit{R. Zhdanov}, Acta Appl. Math. 69, 43--94 (2001; Zbl 1054.35002)] on the complete group classification of the general nonlinear evolution equation \(u_t=F(t,x,u,u_x,u_{xx})\), \(\frac{\partial F}{\partial u_{xx}}\neq 0\).
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    group classification
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    symmetry
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    second order nonlinear evolution equation
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