Results 31 to 40 of about 971 (106)

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
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

Global Occurrence of Solitary Waves in the Martian Magnetosphere

Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract This letter presents a global occurrence of bipolar solitary waves (SWs) in the Martian magnetosphere. We utilized medium‐frequency electric field measurements from October 2014 to December 2023 from the Mars Atmosphere and Volatile EvolutioN (MAVEN) spacecraft.
Sahil Pandey, Amar Kakad, Bharati Kakad
wiley   +1 more source

Training‐Domain Gaps in Data‐Driven Ocean Color Algorithms

Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract Bio‐optical algorithms serve a critical role, enabling satellite‐based monitoring of the global ocean and its ecosystems. These largely empirical algorithms invert satellite measurements of water leaving reflectance (“ocean color”) to biogeochemical parameters such as chlorophyll a, but often fail to generalize beyond their training data ...
P. C. Gray, C. Begouen Demeaux, A. Chase, R. Frouin, E. S. Boss   +4 more
wiley   +1 more source

High‐Energy Topological Edge States and Strain‐Induced Multiple Flat Bands in a Honeycomb Lattice

Nanophotonics, Volume 15, Issue 11, 13 June 2026.
This work proposes a novel anti‐twig edge in the honeycomb lattice that supports two symmetric high‐energy edge states. Moreover, the suppression or enhancement of the high‐energy edge state is observed, and strain‐induced multiple flat bands are produced.
Xiaoqin Bai, Haozhen Tian, Boris A. Malomed, Rongcao Yang, Xiaojun Jia   +4 more
wiley   +1 more source

Twist Engineering of Hybrid 2D van der Waals‐Transition Metal Oxide Membranes

Advanced Physics Research, Volume 5, Issue 6, June 2026.
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, Peter Bøggild, Mads Brandbyge, Jacobo Santamaria, Nini Pryds   +4 more
wiley   +1 more source

Exact Solutions and Nonlinear Dynamical Behavior in a Navier‐Stokes‐Type Model for Elastic Cylindrical Vessels: An Analytical and Computational Approach

Engineering Reports, Volume 8, Issue 6, June 2026.
This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid, Fatma Nur Kaya Sağlam, Mohammad Safi Ullah   +2 more
wiley   +1 more source

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

Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
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, Mykael Cardoso, Márcio Cavalcante   +2 more
wiley   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
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

Large Drifter Experiment in the Western Mediterranean Sea Reveals Dynamical Versus Noise Contributions in SWOT‐KaRIn Sea Level

Geophysical Research Letters, Volume 53, Issue 10, 28 May 2026.
Abstract The wide‐swath altimeter Surface Water and Ocean Topography (SWOT) provides unprecedented two‐dimensional sea‐level observations, whose ability to capture upper‐ocean dynamics requires assessment. The dynamically balanced signal and noise contributions in SWOT‐KaRIn Level‐3 (L3) sea level products are here originally quantified and contrasted ...
Margot Demol, Aurélien L. Ponte, Pierre Garreau, M. Bellacicco, Maristella Berta, L. R. Centurioni, Andrea M. Doglioli, Aude Joël, Baptiste Mourre, Ananda Pascual   +9 more
wiley   +1 more source