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Periodic solitons f...
Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations
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- Groves, Mark D. (författare)
- Saarland University,Loughborough University
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- Sun, Shu Ming (författare)
- Virginia Polytechnic Institute and State University
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- Wahlén, Erik (författare)
- Lund University,Lunds universitet,Partiella differentialekvationer,Forskargrupper vid Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Partial differential equations,Lund University Research Groups,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- Elsevier BV, 2016
- 2016
- Engelska 7 s.
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Ingår i: Comptes Rendus Mathématique. - : Elsevier BV. - 1631-073X. ; 354:5, s. 486-492
- Relaterad länk:
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http://dx.doi.org/10...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit bright line soliton solution. The existence of a family of periodic solitons, which have the profile of the line soliton in the longitudinal spatial direction and are periodic in the transverse spatial direction, is established using dynamical systems arguments. We also show that the line soliton is linearly unstable with respect to perturbations in the transverse direction.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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