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Decaying Long-Time Asymptotics for the Focusing NLS Equation with Periodic Boundary Condition
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Spectral TheoryPhysicsNonlinear Wave PropagationUkraine SearchLow Temperature PhysicsOscillation TheoryPeriodic Boundary ConditionNonlinear EquationNonlinear Hyperbolic ProblemIntegrable SystemPeriodic Travelling WaveFocusing Nls EquationCritical PhenomenonLong-time Asymptotics
Journal Article Decaying Long-Time Asymptotics for the Focusing NLS Equation with Periodic Boundary Condition Get access Anne Boutet de Monvel, Anne Boutet de Monvel 1IMJ, case 7012, Université Paris Diderot, 175, rue du Chevaleret, 75013 Paris, France Correspondence to be sent to: aboutet@math.jussieu.fr Search for other works by this author on: Oxford Academic Google Scholar Vladimir Kotlyarov, Vladimir Kotlyarov 2Mathematical Division, Institute for Low Temperature Physics, 47 Lenin Avenue, 61103 Kharkiv, Ukraine Search for other works by this author on: Oxford Academic Google Scholar Dmitry Shepelsky Dmitry Shepelsky 2Mathematical Division, Institute for Low Temperature Physics, 47 Lenin Avenue, 61103 Kharkiv, Ukraine Search for other works by this author on: Oxford Academic Google Scholar International Mathematics Research Notices, Volume 2009, Issue 3, 2009, Pages 547–577, https://doi.org/10.1093/imrn/rnn139 Published: 30 December 2008 Article history Received: 11 September 2008 Revision received: 11 September 2008 Accepted: 25 September 2008 Published: 30 December 2008
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