Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation. [PDF]
Proc Math Phys Eng Sci, 2016 Ratliff DJ, Bridges TJ.
europepmc +1 more source
Power series solution for the modified KdV equation
Electronic Journal of Differential Equations, 2008 We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $mathcal{F}L^{s,p}$ spaces.
Tu Nguyen
doaj
Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method. [PDF]
PLoS OneYousif MA +3 more
europepmc +1 more source
Effects of Nonextensive Electrons on Dust-Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions. [PDF]
Entropy (Basel), 2023 Liu Z.
europepmc +1 more source
Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Sci RepKhan MI +6 more
europepmc +1 more source
Energy Dynamics of Long-Wave Low-Amplitude Disturbances in an Anharmonic One-Dimensional Lattice. [PDF]
Materials (Basel)Shcherbinin S, Baimova J, Krivtsov A.
europepmc +1 more source
A variational framework for residual-based adaptivity in neural PDE solvers and operator learning. [PDF]
NPJ Artif IntellToscano JD +4 more
europepmc +1 more source
Study of phase separation process in multi-component mixtures using analytical methods and decomposition variational iteration method for the fourth-order Cahn-Hilliard equation. [PDF]
Sci RepLuo J +7 more
europepmc +1 more source
Construction of new solutions of Korteweg-de Vries Caudrey-Dodd-Gibbon equation using two efficient integration methods. [PDF]
PLoS One, 2022 Arshed S, Akram G, Sadaf M, Saeed K.
europepmc +1 more source
Modulation instability, bifurcation analysis, and ion-acoustic wave solutions of generalized perturbed KdV equation with M-fractional derivative. [PDF]
Sci RepAlaoui MK +5 more
europepmc +1 more source