dorsal/arxiv
View SchemaOn integrability of a (2+1)-dimensional perturbed Kdv equation
| Authors | Sergei Yu. Sakovich |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9805012 |
| URL | https://arxiv.org/abs/solv-int/9805012 |
| DOI | 10.2991/jnmp.1998.5.3.1 |
| Journal | J. Nonlinear Math. Phys. 5 (1998) 230-233 |
Abstract
A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma and B. Fuchssteiner, is proven to pass the Painlev\'e test for integrability well, and its 4$\times $4 Lax pair with two spectral parameters is found. The results show that the Painlev\'e classification of coupled KdV equations by A. Karasu should be revised.
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"abstract": "A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma\nand B. Fuchssteiner, is proven to pass the Painlev\\\u0027e test for integrability\nwell, and its 4$\\times $4 Lax pair with two spectral parameters is found. The\nresults show that the Painlev\\\u0027e classification of coupled KdV equations by A.\nKarasu should be revised.",
"arxiv_id": "solv-int/9805012",
"authors": [
"Sergei Yu. Sakovich"
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"doi": "10.2991/jnmp.1998.5.3.1",
"journal_ref": "J. Nonlinear Math. Phys. 5 (1998) 230-233",
"title": "On integrability of a (2+1)-dimensional perturbed Kdv equation",
"url": "https://arxiv.org/abs/solv-int/9805012"
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