Results 91 to 100 of about 1,989,001 (174)

Solitons and Gibbs Measures for Nonlinear Schrödinger Equations

, 2012
We review some recent results concerning Gibbs measures for nonlinear Schrödinger equations (NLS), with implications for the theory of the NLS, including stability and typicality of solitary wave structures.
K. Kirkpatrick
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Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation [PDF]

, 2009
We highlight an interesting mapping between the moving breather solutions of the generalized nonlinear Schrödinger (NLS) equations and the static solutions of neutral scalar field theories.
Saxena, Avadh, Law, K. J. H., Khare, Avinash, Law, Kody J. H.   +3 more
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Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]

, 2000
This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare, Tania Clare Dunning, Dunning, T.C.   +2 more
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PRIN 2009: Critical point theory and perturbative methods for nonlinear differential equations. Hamiltonian Systems and Partial Differential Equations

, 2011
Many partial differential equations arising in Physics can be seen as innite dimensional Hamiltonian systems. Main examples are the nonlinear Schrodinger (NLS) and wave (NLW) equations, the beam, membrane and Kirkhoff equations in elasticity theory, the ...
BERTI, MASSIMILIANO
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Nonlinear Stability Of Periodic Traveling Wave Solutions To The Schrödinger And The Modified Korteweg-de Vries Equations

, 2015
This work is concerned with stability properties of periodic traveling waves solutions of the focusing Schrödinger equationi ut + ux x + | u |2 u = 0 posed in R, and the modified Korteweg-de Vries equationut + 3 u2 ux + ux x x = 0 posed in R.
Pava, JA, Angulo Pava J.
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Rogue Waves in the Nonlinear Schrödinger, Kadomtsev–Petviashvili, Lakshmanan–Porsezian–Daniel and Hirota Equations

Axioms
We give some of our results over the past few years about rogue waves concerning some partial differential equations, such as the focusing nonlinear Schrödinger equation (NLS), the Kadomtsev–Petviashvili equation (KPI), the Lakshmanan–Porsezian–Daniel ...
Pierre Gaillard
doaj   +1 more source

On Existence and Uniqueness Results for some Nonlinear Schrödinger equations

, 2023
The (nonlinear) behaviour of laser beams can be described with Nonlinear Schrödinger equations (NLS). The purpose of this thesis is to shed light on two mathematical papers that give existence and uniqueness results for an NLS equation called the soliton
Eenhoorn, Jasper (author)
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Discrete Fourier Restriction Associated with Schrödinger Equations

, 2014
The standard way of solving nonlinear Schrödinger equations (NLS) is to rewrite the differential equations into the equivalent form of integral equations, and then apply Picard iteration. In this process the Strichartz estimate is usually used to control
Li, Xiaochun, Hu, Yi
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Infinite-energy Solutions For Schrödinger-type Equations With A Nonlocal Term

, 2015
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal term in Rn. Existence and uniqueness of local and global solutions are established in spaces which allow singular initial data.
Barros V., Pastor A.
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Existence And Uniqueness Of Solution For A Generalized Nonlinear Derivative Schrödinger Equation

, 2016
In this work we study the well-posedness for the initial value problem associated to a generalized derivative Schrödinger equation for small size initial data in weighted Sobolev space. The techniques used include parabolic regularization method combined

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