A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line (Q1661422)

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English	A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line	scientific article

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title

A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line (English)

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16 August 2018

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full work available at URL

https://arxiv.org/abs/1611.08482

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zbMATH Keywords

multi-soliton

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modulation theory

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wave turbulence

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growth of Sobolev norms

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cubic Szego equation

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MaRDI profile type

MaRDI publication profile

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cites work

Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations

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Q4880973

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On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in $\mathbb{R}^D$

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Dispersive wave turbulence in one dimension

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A remark on normal forms and the ``upside-down'' $I$-method for periodic NLS: growth of higher Sobolev norms

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Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state

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Mean field dynamics of boson stars

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Uniqueness of non-linear ground states for fractional Laplacians in $\mathbb{R}$

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Blowup for nonlinear wave equations describing boson stars

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The cubic Szegő equation

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Invariant tori for the cubic Szegö equation

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Effective integrable dynamics for a certain nonlinear wave equation

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An explicit formula for the cubic Szegő equation

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The cubic szego equation and hankel operators

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Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential

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Growth of Sobolev norms for the analytic NLS on $\mathbb{T}^2$

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Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations

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MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS

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Growth of Sobolev norms for the quintic NLS on $\mathbb T^2$

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Local well-posedness and blow-up in the energy space for a class of $L^2$ critical dispersion generalized Benjamin-Ono equations

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On the continuum limit for discrete NLS with long-range lattice interactions

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Nondispersive solutions to the $L ^{2}$-critical half-wave equation

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Two-soliton solutions to the three-dimensional gravitational Hartree equation

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Identifiers

zbMATH Open document ID

1397.35062

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DOI

10.1007/s40818-017-0043-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1661422