Results 121 to 130 of about 173,152 (254)
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 +4 more
wiley +1 more source
Affine Toda solitons and fusing rules [PDF]
This thesis is concerned with various soliton solutions to some of the affine Toda field theories. These are field theories in 1+1 dimensions that possess a rich underlying Lie algebraic structure and they are known to be integrable.
Hall, R.A, Hall, Richard Andrew
core
Abstract Warm, saline Atlantic waters and fresher Arctic‐origin waters converge in the central Nordic Seas, creating strong mesoscale and submesoscale variability that influences both hydrography and sound propagation. During the Northern Ocean Rapid Surface Evolution 2022 experiment, high‐resolution temperature and salinity measurements were collected
Megan S. Ballard +11 more
wiley +1 more source
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 +4 more
wiley +1 more source
The Proton‐Alpha Instability as a Source of Ion Heating at Earth's Bow Shock
Abstract Electrostatic waves are frequently observed at collisionless shocks and are believed to play a key role in energy dissipation. Recent spacecraft observations have identified a proton‐alpha instability in the Earth's bow shock as a potential mechanism to dissipate the energy associated with a relative drift between protons and alpha particles ...
N. Müller +3 more
wiley +1 more source
Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
wiley +1 more source
The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley +1 more source
A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions
Using our previous work on reflectionless analytic difference operators and a nonlocal Toda equation, we introduce analytic versions of the Volterra and Kac-van Moerbeke lattice equations.The real-valued N-soliton solutions to our nonlocal equations ...
Simon Ruijsenaars
core
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Exact N-envelope-soliton solutions of the Hirota equation
We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations.
Shu, Jian Jun
core

