dorsal/arxiv
View SchemaBilinearization of a Generalized Derivative Nonlinear Schr\"odinger equation
| Authors | Saburo Kakei, Narimasa Sasa, Junkichi Satsuma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9501005 |
| URL | https://arxiv.org/abs/solv-int/9501005 |
| DOI | 10.1143/JPSJ.64.1519 |
| Journal | J. Phys. Soc. Jpn. 64 (1995) 1519 |
Abstract
A generalized derivative nonlinear Schr\"odinger equation, \ii q_t + q_{xx} + 2\ii \gamma |q|^2 q_x + 2\ii (\gamma-1)q^2 q^*_x + (\gamma-1)(\gamma-2)|q|^4 q = 0 , is studied by means of Hirota's bilinear formalism. Soliton solutions are constructed as quotients of Wronski-type determinants. A relationship between the bilinear structure and gauge transformation is also discussed.
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"abstract": "A generalized derivative nonlinear Schr\\\"odinger equation,\n \\ii q_t + q_{xx} + 2\\ii \\gamma |q|^2 q_x + 2\\ii (\\gamma-1)q^2 q^*_x +\n(\\gamma-1)(\\gamma-2)|q|^4 q = 0 ,\n is studied by means of Hirota\u0027s bilinear formalism. Soliton solutions are\nconstructed as quotients of Wronski-type determinants. A relationship between\nthe bilinear structure and gauge transformation is also discussed.",
"arxiv_id": "solv-int/9501005",
"authors": [
"Saburo Kakei",
"Narimasa Sasa",
"Junkichi Satsuma"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1143/JPSJ.64.1519",
"journal_ref": "J. Phys. Soc. Jpn. 64 (1995) 1519",
"title": "Bilinearization of a Generalized Derivative Nonlinear Schr\\\"odinger equation",
"url": "https://arxiv.org/abs/solv-int/9501005"
},
"schema_id": "dorsal/arxiv",
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