Kraenkel, Roberto André [UNESP]Senthilvelan, M. [UNESP]Zenchuk, A. I. [UNESP]2014-05-272014-05-272000-05-01Journal of Mathematical Physics, v. 41, n. 5, p. 3160-3169, 2000.0022-2488http://hdl.handle.net/11449/66146We present an investigation of the nonlinear partial differential equations (PDE) which are asymptotically representable as a linear combination of the equations from the Camassa-Holm hierarchy. For this purpose we use the infinitesimal transformations of dependent and independent variables of the original PDE. This approach is helpful for the analysis of the systems of the PDE which can be asymptotically represented as the evolution equations of polynomial structure. © 2000 American Institute of Physics.3160-3169engArtigo10.1063/1.533298WOS:000086568600047Acesso aberto2-s2.0-00343474012-s2.0-0034347401.pdf