Physically Guided GAN‐Based Super Resolution of Buoy Observations for Internal Solitary Waves
Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.Abstract Accurate monitoring of internal solitary waves (ISWs) is crucial for understanding their influence on ocean mixing and energy transfer. Satellite observations offer a powerful tool for large‐scale ISW monitoring, but they mainly detect surface signatures and thus require nearby in situ measurements for validation and amplitude estimation ...
Xudong Zhang +3 more
wiley +1 more source
PLoS ONE, 2022 Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications.
Saima Arshed +3 more
doaj
Insensitizing control of KDV–Burgers equations
Journal of Electrical Systems and Information Technology, 2018 This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
doaj +1 more source
New Travelling Wave Solution-Based New Riccati Equation for Solving KdV and Modified KdV Equations
Applied Mathematics and Nonlinear Sciences, 2020 Abstract A large family of explicit exact solutions to both Korteweg- de Vries and modified Korteweg- de Vries equations are determined by the implementation of the new extended direct algebraic method. The procedure starts by reducing both equations to related ODEs by compatible travelling wave transforms.
Hadi Rezazadeh +4 more
openaire +1 more source
Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]
Sci Rep, 2023 Hussain A +4 more
europepmc +1 more source
Boundary Element Method for the Mixed BBM-KdV Equation Compared to Non Standard Boundary Conditions
, 2021 Mostafa Abounouh +3 more
openalex +2 more sources
A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
europepmc +1 more source
Jacobi elliptic function solutions for a two-mode KdV equation
Journal of King Saud University - Science, 2017 In this paper we introduce a new type of KdV equations called Two-mode KdV (TMKdV). This equation represents the propagation of two-wave modes in the same direction simultaneously.
Marwan Alquran, A. Jarrah
semanticscholar +1 more source
A compact finite difference scheme with absorbing boundary condition for forced KdV equation. [PDF]
MethodsX, 2023 Chen J, Dai W.
europepmc +1 more source
On the Stability of Periodic Multi-Solitons of the KdV Equation. [PDF]
Commun Math Phys, 2021 Kappeler T, Montalto R.
europepmc +1 more source