TY - JOUR
JF - Journal of Nonlinear Mathematical Physics
SN - 1402-9251
N2 - We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schrödinger equation, the Lax pair gives at the same order the Zakharov and Shabat spectral problem and the symmetries the hierarchy of point and generalized symmetries of the nonlinear Schrödinger equation.
PB - Dept. of Mathematics Lulea Univ. of Technology
TI - Multiscale expansion and integrability properties of
the lattice potential KdV equation
VL - 15
ID - upm2543
AV - public
IS - 3
EP - 333
SP - 323
UR - http://www.atlantis-press.com/publications/jnmp/
A1 - Hernández Heredero, Rafael
A1 - Levi, Decio
A1 - Petrera, Matteo
A1 - Scimiterna, Christian
Y1 - 2008/10//
ER -