Results 71 to 80 of about 554,383 (268)
Applications of Multi-reduction and Multi-soliton Analysis of (2+1) Zakharov-Kuznetsov (ZK) Equation
We study the Zakharov-Kuznetsov (ZK) equation with the triple-power law non-linearity. We determine the invariance properties and construct classes of conservation laws and show how the relationship leads to double reductions of the systems, yielding ...
Ali Raza +2 more
doaj +1 more source
The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables.
Hengchun Hu, Yueyue Li
doaj +1 more source
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
A bilinear approach to a Pfaffian self-dual Yang-Mills equation [PDF]
By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is ...
Gilson, C.R., Ohta, Y., Nimmo, J.J.C.
core +1 more source
Abstract During the geomagnetic storm on 10 May 2024, neutral density measurements from 14 Tianmu, Swarm, and GRACE‐FO satellites at ∼510 km altitude, combined with total electron content (TEC) observations, enabled the first global observational comparison of large‐scale traveling atmospheric and ionospheric disturbances (LSTADs/TIDs) via snapshots ...
Xiaolong Wei +8 more
wiley +1 more source
Reconfigurable Spoof Plasmonic Skyrmion Electronics for Deformation‐Invariant Multimode Sensing
A flexible multimode sensor based on capacitively loaded spoof plasmonic skyrmions enables deformation‐invariant dielectric sensing with ultra‐compact size and high Q‐factor. Near‐equidistant resonances remain stable under shape change and bending, while capacitor loading improves bending robustness and multimode sensitivity, highlighting strong ...
Zengxiang Wang +7 more
wiley +1 more source
A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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Twist Engineering of Hybrid 2D van der Waals‐Transition Metal Oxide Membranes
The integration of transition metal oxide membranes with 2D van der Waals materials offers exciting opportunities to study new interfacial phenomena. These interactions can create complex moiré patterns that change the materials' properties. Understanding these interactions, influenced by symmetry and distortion, poses significant challenges and ...
Mar Garcia Hernandez +4 more
wiley +1 more source
Complex sine-Gordon theory: solitons, defects and boundaries [PDF]
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
On the non-integrability of the Popowicz peakon system [PDF]
We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Irle, Michael V., Hone, Andrew N.W.
core +1 more source

