Results 71 to 80 of about 18,365 (215)

Nonlinear dynamics of solitons for the vector modified Korteweg-de Vries equation [PDF]

, 2017
We consider the vector generalization of the modified Korteweg-de Vries equation. We develop the inverse scattering transform for solving this equation.
Fenchenko, Volodymyr, Khruslov, Evgenii
core   +3 more sources

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source

Diverse Jacobi Elliptic Function Solutions and Dynamical Behaviors for a High-Order KdV Type Wave Equation via Extended F-Expansion Method

Mathematics
This paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
doaj   +1 more source

Whitham theory for perturbed Korteweg-de Vries equation

, 2015
Original Whitham's method of derivation of modulation equations is applied to systems whose dynamics is described by a perturbed Korteweg-de Vries equation. Two situations are distinguished: (i) the perturbation leads to appearance of right-hand sides in
Kamchatnov, A. M.
core   +1 more source

Quantifying Suspended Sediment Dynamics Under Energetic Nonlinear Internal Waves of Depression

Geophysical Research Letters, Volume 53, Issue 1, 16 January 2026.
Abstract While nonlinear internal wave (NLIW) trains are known to influence near‐sea bed suspended sediment dynamics, the mechanisms remain a topic of debate. We present near‐sea bed observations of suspended sediment concentration C $C$ and estimates of vertical sediment flux, at high vertical‐ and temporal‐resolution, during trains of NLIW of ...
W. C. Edge, N. L. Jones, M. D. Rayson, G. N. Ivey, A. Zulberti   +4 more
wiley   +1 more source

Blowing-up solutions of the time-fractional dispersive equations

Advances in Nonlinear Analysis, 2021
This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries ...
Alsaedi Ahmed, Ahmad Bashir, Kirane Mokhtar, Torebek Berikbol T.   +3 more
doaj   +1 more source

Control of a Korteweg-de Vries equation: A tutorial

Mathematical Control & Related Fields, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley   +1 more source

Boussinesq Solitary-Wave as a Multiple-Time Solution of the Korteweg-de Vries Hierarchy

, 1995
We study the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. As a consequence of the elimination of the secular producing terms through the use of the Korteweg--de Vries hierarchy, we show that the solitary ...
J. C. Montero, J. G. Pereira (a, M. A. Manna, Physique Mathématique Et Théorique, R. A. Kraenkel   +4 more
core   +2 more sources

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source