Results 51 to 60 of about 32,605 (214)

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
doaj   +1 more source

Nonlocal nonlinear Schrödinger equations and their soliton solutions [PDF]

, 2018
We study standard and nonlocal nonlinear Schrödinger (NLS) equations obtained from the coupled NLS system of equations (Ablowitz-Kaup-Newell-Segur (AKNS) equations) by using standard and nonlocal reductions, respectively.
Pekcan, ASLI, Aslı Pekcan, Gürses, Metin, Metin Gürses, Pekcan, A.   +4 more
core   +1 more source

Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations [PDF]

, 1995
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply the Painlevé singularity structure analysis and find that the proposed equations admit the Painlevé property.
Shanmugha Sundaram, P., Porsezian, K.
core   +1 more source

3D-Modulational Stability of Envelope Soliton in a Quantum Electron–Ion Plasma—A Generalised Nonlinear Schrödinger Equation

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, Asesh Roy Chowdhury, Basudev Ghosh   +2 more
doaj   +1 more source

Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme

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, Abdul-Majid Wazwaz, Forhad Mahmud, Dumitru Baleanu, Ripan Roy, Hemonta Kumar Barman, W. Mahmoud, Mohammed A. Al Sharif, M.S. Osman   +8 more
doaj   +1 more source

A Hybrid ML‐PDE Framework for Predicting Breaking Ocean Waves

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract Wave breaking plays a central role in ocean dynamics, dissipating wave energy and shaping the evolution of the sea surface. Yet, breaking remains difficult to model: envelope‐based models efficiently capture nonlinear wave evolution and are interpretable but exclude breaking, while high‐fidelity direct numerical simulations resolve breaking ...
Y. Liu, T. A. A. Adcock, T. S. van den Bremer, D. Eeltink   +3 more
wiley   +1 more source

Solitons and Gibbs Measures for Nonlinear Schrödinger Equations [PDF]

, 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
core   +1 more source

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, E. Pelinovsky, E. Pelinovsky   +2 more
doaj   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]

, 2012
Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
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