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Solution formulas f...
Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour
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- Nilson, Tomas, 1956- (författare)
- Mittuniversitetet,Institutionen för matematik och ämnesdidaktik
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- Schiebold, Cornelia (författare)
- Mittuniversitetet,Institutionen för matematik och ämnesdidaktik,Uniwersytet Jana Kochanowskiego w Kielcach, Poland
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(creator_code:org_t)
- 2019
- 2020
- Engelska.
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Ingår i: Journal of Nonlinear Mathematical Physics. - : Taylor & Francis. - 1402-9251 .- 1776-0852. ; 27:1, s. 57-94
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Abstract
Ämnesord
Stäng
- The first main aim of this article is to derive an explicit solution formula for the scalar two-dimensional Toda lattice depending on three independent operator parameters, ameliorating work in [31]. This is achieved by studying a noncommutative version of the 2d-Toda lattice, generalizing its soliton solution to the noncommutative setting. The purpose of the applications part is to show that the family of solutions obtained from matrix data exhibits a rich variety of asymptotic behaviour. The first indicator is that web structures, studied extensively in the literature, see [4] and references therein, are a subfamily. Then three further classes of solutions (with increasingly unusual behaviour) are constructed, and their asymptotics are derived. © 2019, © 2019 the authors.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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