Group classification of the general evolution equation: local and quasi-local symmetries
Zhdanov, Renat ; Lahno, Victor
arXiv, 0510003 / Harvested from arXiv
Text on arXiv
We expand our group classification of quasilinear evolution equations (Acta Appl.Math., v.69, 2001) to the case of general evolution equation in one spatial variable. This enables obtaining several new classes of evolution equations with nontrivial Lie symmetry. As a by-product, we derive a number of nonlinear evolution equations admitting quasilocal symmetries.
Publié le : 2005-10-03
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0510003,
     author = {Zhdanov, Renat and Lahno, Victor},
     title = {Group classification of the general evolution equation: local and
  quasi-local symmetries},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510003}
}

Zhdanov, Renat; Lahno, Victor. Group classification of the general evolution equation: local and
  quasi-local symmetries. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510003/