Results 31 to 40 of about 2,498 (146)
T T ¯ $$ T\overline{T} $$ deformations of non-relativistic models
Journal of High Energy Physics, 2021 The light-cone gauge approach to T T ¯ $$ T\overline{T} $$ deformed models is used to derive the T T ¯ $$ T\overline{T} $$ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation.
Chantelle Esper, Sergey Frolov
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Plasma, 2022 In physical reality, the phenomena of plasma physics is actually a three-dimensional one. On the other hand, a vast majority of theoretical studies only analyze a one-dimensional prototype of the situation.
Shatadru Chaudhuri +2 more
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Growth of Sobolev norms for the quintic NLS on $\mathbb T^2$
, 2014 We study the quintic Non Linear Schr\"odinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of ...
Haus, Emanuele, Procesi, Michela
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Results in Physics, 2022 The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule ...
M. Ali Akbar +8 more
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Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water [PDF]
Nonlinear Processes in Geophysics, 2017 The nonlinear Schrödinger (NLS) equation describing the propagation of weakly rotational wave packets in an infinitely deep fluid in Lagrangian coordinates has been derived.
A. Abrashkin +2 more
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On linear instability of solitary waves for the nonlinear Dirac equation
, 2013 We consider the nonlinear Dirac equation, also known as the Soler model: $i\p\sb t\psi=-i\alpha \cdot \nabla \psi+m \beta \psi-f(\psi\sp\ast \beta \psi) \beta \psi$, $\psi(x,t)\in\mathbb{C}^{N}$, $x\in\mathbb{R}^n$, $n\le 3$, $f\in C\sp 2(\R)$, where ...
Comech, Andrew +2 more
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Dispersion‐Less Dissipative Soliton Fiber Laser
Laser &Photonics Reviews, Volume 20, Issue 6, 18 March 2026.A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed +2 more
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Advances in Mathematical Physics, 2018 We apply the generalized projective Riccati equations method with the aid of Maple software to construct many new soliton and periodic solutions with parameters for two higher-order nonlinear partial differential equations (PDEs), namely, the nonlinear ...
A. M. Shahoot +3 more
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Some special solutions to the Hyperbolic NLS equation
, 2017 The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili method is exploited to numerically compute bi-periodic time-harmonic ...
Dutykh, Denys +2 more
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Dispersive Wave Focusing in Shoaling Water With Currents
Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.Abstract A methodology creating dispersive focusing waves on constant depth, originally proposed by Rapp and Melville (1990), https://doi.org/10.1098/rsta.1990.0098, has provided a wide range of applications studying nonlinear waves, wave breaking, and rogue waves in the open ocean.
Y. Watanabe, T. Davey, D. M. Ingram
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