TY - UNPB

T1 - Coupled system description of perturbed KdV equation

AU - Zarmi, Yair

PY - 2008/5/1

Y1 - 2008/5/1

N2 - In the multiple-soliton case, the freedom in the expansion of the
solution of the perturbed KdV equation is exploited so as to transform
the equation into a system of two equations: The (inte-grable) Normal
Form for KdV-type solitons, which obey the usual infinity of
KdV-conservation laws, and an auxiliary equation that describes the
contribution of obstacles to asymptotic inte-grability, which arise from
the second order onwards. The analysis has been carried through the
third order in the expansion. Within that order, the solution of the
auxiliary equation is a con-served quantity.

AB - In the multiple-soliton case, the freedom in the expansion of the
solution of the perturbed KdV equation is exploited so as to transform
the equation into a system of two equations: The (inte-grable) Normal
Form for KdV-type solitons, which obey the usual infinity of
KdV-conservation laws, and an auxiliary equation that describes the
contribution of obstacles to asymptotic inte-grability, which arise from
the second order onwards. The analysis has been carried through the
third order in the expansion. Within that order, the solution of the
auxiliary equation is a con-served quantity.

KW - Nonlinear Sciences - Exactly Solvable and Integrable Systems

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BT - Coupled system description of perturbed KdV equation

ER -