Results 101 to 110 of about 48,235 (213)

Complex and Real Optical Soliton Properties of the Paraxial Non-linear Schrödinger Equation in Kerr Media With M-Fractional

Frontiers in Physics, 2019
In this paper, we use the modified exponential function method in terms of Kf(x) instead of ef(x)and the extended sinh-Gordon method to find some new family solution of the M-fractional paraxial non-linear Schrödinger equation. The novel complex and real
Wei Gao, Hajar F. Ismael, Hajar F. Ismael, Sizar A. Mohammed, Haci Mehmet Baskonus, Hasan Bulut   +5 more
doaj   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

Lie group analysis, solitons, self-adjointness and conservation laws of the nonlinear elastic structural element equation

Journal of Taibah University for Science
This study is based on the Lie group method for the nonlinear elastic structural element equation (ESE Equation). We obtain a three-dimensional Lie algebra. By utilizing this Lie algebra a four-dimensional optimal system is constructed. The governing ESE
Akhtar Hussain, Muhammad Usman, Fiazuddin Zaman   +2 more
doaj   +1 more source

Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]

Sci Rep, 2023
Fan C, Li L, Yu F.
europepmc   +1 more source

On Non‐Compact Extended Bach Solitons

Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source

Erratum to “On Soliton structures in optical fiber communications with Kundu–Mukherjee–Naskar model (Open Physics 2021;19:679–682)”

Open Physics
In a recent paper (Open Physics 2021;19:679–682), Khalil Salim Al-Ghafri investigated the soliton structures of the integrable Kundu–Mukherjee–Naskar (KMN) equation in optical fiber communication.
Mukherjee Abhik, Anurag
doaj   +1 more source

N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited

Studies in Applied Mathematics
ABSTRACTIn this article, a general solution formula is derived for the ‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as ‐solitons (in the sense of Goncharenko) with common phase matrix.
Carillo S., Lo Schiavo M., Schiebold C.
openaire   +3 more sources

Unraveling the Mystery of Melt Migration in Migmatites: From Channeling Instability to Pattern Formation

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun, Manman Hu, Roberto Weinberg, Klaus Regenauer‐Lieb   +3 more
wiley   +1 more source

Impact of Non‐Classical Gravity‐Wave Dynamics on Middle‐Atmosphere Mean Flow and Solar Tides

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 8, 28 April 2026.
Abstract Conventional gravity‐wave (GW) parameterizations neglect three aspects of GW dynamics. Instead of momentum and entropy fluxes they use Eliassen‐Palm fluxes, thereby neglecting the possibility that resolved flow are not in geostrophic and hydrostatic balance.
T. Kühner, G. S. Völker, U. Achatz
wiley   +1 more source

Do Migrating Semidiurnal Tidal Winds From the Lower Atmosphere Control Thermospheric Winds?

Geophysical Research Letters, Volume 53, Issue 7, 16 April 2026.
Abstract Lower atmospheric tides are important for driving the thermospheric and ionospheric structure. The effects of different lower atmospheric migrating semidiurnal tidal fields of neutral density, temperature, and winds on the thermospheric winds are investigated by using the global ionosphere‐thermosphere model with forcing of the tides at the ...
Chen Wu, Aaron J. Ridley
wiley   +1 more source