Singularity analysis of a spherical Kadomtsev-Petviashvili equation
Exactly Solvable and Integrable Systems
2007-05-23 v3 Mathematical Physics
Analysis of PDEs
math.MP
Plasma Physics
Abstract
The (2+1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314:479-483 (2003)] fails the Painleve test for integrability at the highest resonance, where a nontrivial compatibility condition for recursion relations appears. This compatibility condition, however, is sufficiently weak and thus allows the SKP equation to possess an integrable (1+1)-dimensional reduction, which is detected by the Weiss method of truncated singular expansions.
Keywords
Cite
@article{arxiv.nlin/0404037,
title = {Singularity analysis of a spherical Kadomtsev-Petviashvili equation},
author = {Ayse Karasu-Kalkanli and Sergei Yu. Sakovich},
journal= {arXiv preprint arXiv:nlin/0404037},
year = {2007}
}
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7 pages