Physics – Mathematical Physics
Scientific paper
2007-09-24
Physics
Mathematical Physics
10 pages, contribution to the proceedings of the NEEDS 2007 Conference
Scientific paper
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 Schroedinger 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 Schroedinger equation.
Heredero Rafael Hernández
Levi Decio
Petrera Matteo
Scimiterna Christian
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