Classical and nonclassical symmetries of a generalized Boussinesq equation
Gandarias, Maria Luz ; Bruzón, M. S.
arXiv, 9801206 / Harvested from arXiv
Text on arXiv
We apply the Lie-group formalism and the nonclassical method due to Bluman and Cole to deduce symmetries of the generalized Boussinesq equation, which has the classical Boussinesq equation as an special case. We study the class of functions $f(u)$ for which this equation admit either the classical or the nonclassical method. The reductions obtained are derived. Some new exact solutions can be derived.
Publié le : 1997-12-31
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs 
@article{9801206,
     author = {Gandarias, Maria Luz and Bruz\'on, M. S.},
     title = {Classical and nonclassical symmetries of a generalized Boussinesq
  equation},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801206}
}

Gandarias, Maria Luz; Bruzón, M. S. Classical and nonclassical symmetries of a generalized Boussinesq
  equation. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9801206/