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Singularity analysis of a spherical Kadomtsev-Petviashvili equation | | Ayse Karasu-Kalkanli
; Sergei Yu. Sakovich
; | | Date: |
19 Apr 2004 | | Journal: | J. Phys. Soc. Jpn. 74 (2005) 505-507 DOI: 10.1143/JPSJ.74.505 | | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics; Plasma Physics; Analysis of PDEs | nlin.SI math-ph math.AP math.MP physics.plasm-ph | | 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. | | Source: | arXiv, nlin.SI/0404037 | | Services: | Forum | Review | PDF | Favorites | |
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