English

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

Exactly Solvable and Integrable Systems 2020-01-22 v1 Mathematical Physics math.MP

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 a0a\neq 0 and p1,4p\neq 1,-4 this equation has no generalized symmetries of order greater than five and hence is not symmetry integrable.

Cite

@article{arxiv.2001.06649,
  title  = {Symmetry nonintegrability for extended $K(m,n,p)$ equation},
  author = {Jakub Vašíček},
  journal= {arXiv preprint arXiv:2001.06649},
  year   = {2020}
}

Comments

4 pages, no figures

R2 v1 2026-06-23T13:14:39.757Z