Results 101 to 110 of about 18,284 (167)

Power Series Solution for Korteweg-de Vries Equation

Trends in Computational and Applied Mathematics
We apply the similarity method to the Korteweg-de Vries equation, where we obtain a new equation, in terms of similarity variable. We use the power series method, getting the similarity solution, which is exemplified graphically by particular cases.
F. S. Costa, J. C. A. Soares, G. L. Araujo, M. V. S. Sousa   +3 more
doaj   +1 more source

Ill-posedness for periodic nonlinear dispersive equations

Electronic Journal of Differential Equations, 2010
In this article, we establish new results about the ill-posedness of the Cauchy problem for the modified Korteweg-de Vries and the defocusing modified Korteweg-de Vries equations, in the periodic case. The lack of local well-posedness is in the sense
Jaime Angulo Pava, Sevdzhan Hakkaev
doaj  

Solitary waves and shock waves for double-layered fluid flow with dispersion triplet: Zaremaoghaddam and Gear–Grimshaw models (KdV equation)

Beni-Suef University Journal of Basic and Applied Sciences
Background The Zaremaoghaddam model studies internal waves, fluid dynamics, and nonlinear wave equations. In shallow water, internal solitons, or stratified fluids, the procedure may involve modifying or applying nonlinear wave models like Korteweg–de ...
Lakhveer Kaur, Omer Mohammed Khodayer Al-Dulaimi, Farag Mahel Mohammed, Anwar Ja’afar Mohamad Jawad, Mohammad Abdelkawy, Oswaldo González-Gaxiola, Ahmed H. Arnous, Anjan Biswas   +7 more
doaj   +1 more source

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 One
Yousif MA, Hamasalh FK, Zeeshan A, Abdelwahed M.   +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 Rep
Khan MI, Khan MA, Iqbal M, Alghabban WG, Aljohani A, Al-Dayel I, Ceesay B.   +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 Intell
Toscano JD, Chen DT, Ooomen V, Darbon J, Karniadakis GE.   +4 more
europepmc   +1 more source