Results 71 to 80 of about 5,863,832 (163)

Multi-soliton and rogue wave solutions and their interaction: Insights into nonlinear dynamics in integrable systems

Partial Differential Equations in Applied Mathematics
Solitons are essential in order to understand integrable systems and solve nonlinear evolution equations. They maintain signal integrity in the optical fiber and represent localized waves in plasma, paying significantly to plasma behavior management in ...
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
doaj   +1 more source

Collisionless Shocks: Contemporary State After Three Quarters of a Century of Research

Reviews of Geophysics, Volume 64, Issue 3, September 2026.
Abstract The collisionless shock research started in the late 1950s. Since then, plenty of data have been accumulated due to the large number of missions in the heliosphere, providing in situ measurements of the fields and particles. The quality of these measurements has vastly improved, especially in the last two decades.
M. Gedalin, M. Balikhin, V. Krasnoselskikh   +2 more
wiley   +1 more source

Isospinning Skyrmions [PDF]

, 2014
In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge B of the solitons.
Haberichter, Mareike
core  

The Impacts of Tropospheric Gravity Wave‐Generated MSTIDs on Skywaves at Mid‐latitude North American Sector Observed and Modeled Using SuperDARN HF Radars

Radio Science, Volume 61, Issue 9, September 2026.
Abstract Trans‐ionospheric high frequency (HF: 3–30 MHz) response to atmospheric gravity waves (GWs) is studied in the middle‐latitude ionosphere in relation to thunderstorm activity. SuperDARN HF radar observations are compared against the model simulations to quantify the impact of GW‐generated medium‐scale traveling ionospheric disturbances (MSTID ...
S. Chakraborty, P. A. Inchin, S. Debchoudhury, B. Bergsson, M. Zettergren, J. M. Ruohoniemi   +5 more
wiley   +1 more source

Soliton spectral tunneling in dispersion controlled holey fibers [PDF]

, 2008
We design a number of index-guiding holey fibers with relatively simple structure which possess suitable dispersive properties for the observation of soliton spectral tunneling.
Horak, P., Richardson, D.J., Poletti, F.
core   +1 more source

Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models. [PDF]

Heliyon, 2022
Mamunur Roshid M, Abdeljabbar A, Aldurayhim A, Rahman MM, Roshid HO, Roshid HO, Alshammari FS.   +6 more
europepmc   +1 more source

Multi-Soliton solutions to a model equation for shallow water waves [PDF]

, 2010
In Soliton theory, Hirota direct method is most efficient tool for seeking one soliton solutions or multi-soliton solutions of integrable nonlinear partial differential equations.
Qiao, Zhijiang
core   +1 more source

Dynamics of multi-soliton in the lower ionosphere of Venus within the framework of nonplanar geometry

Discover Space
Dynamics of multi-solitons are investigated in the lower ionosphere of Venus at an altitude ranging from 200 to 1000 km within the framework of nonplanar geometry. The plasma environment of the lower ionosphere of Venus is composed of mobile $$O^+$$ and $
Kusum Chettri, Nanda Kanan Pal, Prasanta Chatterjee, Asit Saha   +3 more
doaj   +1 more source

Complex sine-Gordon theory: solitons, defects and boundaries [PDF]

, 2008
This thesis presents research into the properties and features of the complex sine- Gordon theory. The CSG theory is a dimensional integrable held theory that admits soliton solutions which carry a Noether charge due to the U(I) invariance of the theory.
Umpleby, James
core  

The breather-type and periodic-type soliton solutions for the (2+1 )-dimensional breaking soliton equation [PDF]

, 2011
Exact breather-type and periodic-type soliton solutions including the double-breather-type soliton solutions, the breather-type periodic soliton solutions and breather-type two-soliton solutions, and the periodic-type two-soliton and three-soliton ...
Gui Mu, Zhao, Zhanhui, Dai, Zhengde, Mu, Gui, Zhanhui Zhao, Zhengde Dai   +5 more
core   +1 more source