Results 81 to 90 of about 554,383 (268)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]

, 2010
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
core   +1 more source

Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory [PDF]

Journal of Physics A: Mathematical and Theoretical, 2019
Models that remain integrable even in confining potentials are extremely rare and almost non-existent. Introducing an external potential in integrable models, breaks the conservation of even simple quantities such as total linear momentum, and hence, the
Ari Gon, M. Kulkarni
semanticscholar   +1 more source

Gravity Wave Influences on MSTID Climatology Over CONUS: WACCM‐X Year‐Long Simulation and GNSS Long‐Term Observation

Journal of Geophysical Research: Space Physics, Volume 131, Issue 6, June 2026.
Abstract Medium‐Scale Traveling Ionospheric Disturbances (MSTIDs) are prominent wave‐like structures in the ionosphere, with complex generation mechanisms involving both atmospheric gravity waves (GWs) and electrodynamic instabilities such as the Perkins instability (PI).
Jing Liu, Shun‐Rong Zhang, Hanli Liu, Anthea J. Coster, Philip J. Erickson   +4 more
wiley   +1 more source

Fermions, Skyrmions and the 3-sphere [PDF]

, 2009
This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalized angular momentum or grand spin.
Stephen W. Goatham, Steffen Krusch, Goatham, S.W., Krusch, Steffen   +3 more
core   +1 more source

Drivers of F‐Region Ionosphere Tidal Variability Caused by the Madden Julian Oscillation: Separating E‐Region Dynamo and Field‐Aligned Wind Effects

Journal of Geophysical Research: Space Physics, Volume 131, Issue 6, June 2026.
Abstract The Madden–Julian Oscillation (MJO), a recurring intraseasonal (30–96 days) disturbance in the troposphere, strongly influences the E‐region and F‐region ionosphere through its modulation of atmospheric tides. Among these, the diurnal eastward wave number 3 (DE3) tide, driven by MJO‐modulated latent heating, carries MJO signals upward into the
Deepali Aggarwal, Jens Oberheide, B. C. Martinez, Xian Lu, Sunil Kumar   +4 more
wiley   +1 more source

Travelling solitary waves in the discrete nonlinear Schrodinger equation with saturable nonlinearity: existence, stability and dynamics [PDF]

, 2007
The present work examines in detail the existence, stability and dynamics of travelling solitary waves in dynamical lattices with saturable nonlinearity.
Melvin, TRO., Kevrekidis, PG., Cuevas, J., J. Cuevas, Cuevas-Maraver, Jesús, Cuevas, J, T.R.O. Melvin, Melvin, Thomas R.O., Kevrekidis, PG, Champneys, AR, Melvin, TRO, Champneys, A. R., P.G. Kevrekidis, Kevrekidis, Panayotis G., A.R. Champneys   +14 more
core   +1 more source

Soliton-like behaviour in non-integrable systems

, 2021
We present a general scheme for constructing robust excitations (soliton-like) in non-integrable multicomponent systems. By robust, we mean localised excitations that propagate with almost constant velocity and which interact cleanly with little to no ...
Urbashi Satpathi (14381664), Manas Kulkarni (14381670), Vishal Vasan (14381667), Raghavendra Nimiwal (14381661)   +3 more
core   +1 more source

The nonlinear Dirac equation in Bose–Einstein condensates: II. Relativistic soliton stability analysis

New Journal of Physics, 2015
The nonlinear Dirac equation for Bose–Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions.
L H Haddad, Lincoln D Carr
doaj   +1 more source

A Unified Vector Electromagnetic Framework for Ionospheric Scintillation and Polarization Effects in GNSS

Radio Science, Volume 61, Issue 6, June 2026.
Abstract The ionosphere imposes coupled amplitude, phase, and polarization distortions on trans‐ionospheric Global Navigation Satellite System (GNSS) signals, reflecting the structure and dynamics of electron‐density irregularities. Classical weak‐scatter theory provides a mature framework for interpreting amplitude and phase scintillation, but these ...
T. Durgonics, S. S. Beeck
wiley   +1 more source