Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1996-07-23
Nonlinear Sciences
Exactly Solvable and Integrable Systems
9 pages in AMSTeX, to appear \textit{Nonlinearity}
Scientific paper
10.1088/0951-7715/10/1/005
In this paper we obtain explicit lower bounds for the radius of convergence of the Painlev\'e expansions of the Korteweg-de-Vries equation around a movable singularity manifold ${\Cal S}$ in terms of the sup norms of the arbitrary functions involved. We use this estimate to prove the well-posedness of the singular Cauchy problem on ${\Cal S}$ in the form of continuous dependence of the meromorphic solution on the arbitrary data.
Joshi Nalini
Srinivasan Gopala K.
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