Symmetry nonintegrability for extended K(m,n,p)K(m,n,p) equation

preprint2020arXivOpen access

Abstract

In the present paper we study symmetries of extended K(m,n,p)K(m,n,p) equation ut=a(up)xxxxx+b(un)xxx+c(um)x+f(u), u_t=a(u^p)_{xxxxx}+b(u^n)_{xxx} + c(u^m)_{x} + f(u), where a,b,ca,b,c are arbitrary real constants and m,n,pm,n,p are arbitrary integers, and prove that for a≠0a\neq 0 and p≠1,−4p\neq 1,-4 this equation has no generalized symmetries of order greater than five and hence is not symmetry integrable.

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