Degasperis, A. (ed.) et al., Symmetry and perturbation theory (SPT’98). Proceedings of the 2nd international workshop, Rome, Italy, December 16-22, 1998. Singapore: World Scientific. 23-37 (1999).
Summary: The multiscale expansion is shown to be a convenient tool to define asymptotic integrability up to order of dispersive nonlinear wave equations. Its connection with complete integrability, an algorithmic test and few examples are discussed. Approximate Lax pairs for asymptotically integrable PDEs are also provided.
|35Q53||KdV-like (Korteweg-de Vries) equations|
|37K10||Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies|