dorsal/arxiv
View SchemaLeading Order Temporal Asymptotics of the Modified Non-Linear Schrodinger Equation: Solitonless Sector
| Authors | A. V. Kitaev, A. H. Vartanian |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701001 |
| URL | https://arxiv.org/abs/solv-int/9701001 |
| DOI | 10.1088/0266-5611/13/5/014 |
Abstract
Using the matrix Riemann-Hilbert factorisation approach for non-linear evolution equations (NLEEs) integrable in the sense of the inverse scattering method, we obtain, in the solitonless sector, the leading-order asymptotics as $t$ tends to plus and minus infinity of the solution to the Cauchy initial-value problem for the modified non-linear Schrodinger equation: also obtained are analogous results for two gauge-equivalent NLEEs; in particular, the derivative non-linear Schrodinger equation.
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"abstract": "Using the matrix Riemann-Hilbert factorisation approach for non-linear\nevolution equations (NLEEs) integrable in the sense of the inverse scattering\nmethod, we obtain, in the solitonless sector, the leading-order asymptotics as\n$t$ tends to plus and minus infinity of the solution to the Cauchy\ninitial-value problem for the modified non-linear Schrodinger equation: also\nobtained are analogous results for two gauge-equivalent NLEEs; in particular,\nthe derivative non-linear Schrodinger equation.",
"arxiv_id": "solv-int/9701001",
"authors": [
"A. V. Kitaev",
"A. H. Vartanian"
],
"categories": [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol",
"physics.plasm-ph"
],
"doi": "10.1088/0266-5611/13/5/014",
"title": "Leading Order Temporal Asymptotics of the Modified Non-Linear Schrodinger Equation: Solitonless Sector",
"url": "https://arxiv.org/abs/solv-int/9701001"
},
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