Results 61 to 70 of about 22,064 (260)
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations
Journal of Nigerian Society of Physical Sciences, 2022 Fifth-order Korteweg-de Vries (KdV) equations, arise in modeling waves phenomena such as the propagation of shallow water waves over a flat surface, gravity-capillary waves and sound waves in plasmas.
Olumide O. Olaiya +2 more
doaj +1 more source
Exact elliptic compactons in generalized Korteweg-De Vries equations [PDF]
Complex, 2005 We derive a general theorem relating the energy, momentum and velocity of any solitary wave solution of the generalized KdV equation which enables us to relate the amplitude, width, and momentum to the velocity of these solutions.
Fred Cooper, A. Khare, A. Saxena
semanticscholar +1 more source
Symmetry, 2022 This article applies the homotopy perturbation transform technique to analyze fractional-order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations.
Nehad Ali Shah +4 more
semanticscholar +1 more source
Kinetic equation for a dense soliton gas [PDF]
, 2005 We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations.
A. M. Kamchatnov +7 more
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 +2 more
wiley +1 more source
Advances in Mathematical Physics, 2022 Nonlinear evolution equations are crucial for understanding the phenomena in science and technology. One such equation with periodic solutions that has applications in various fields of physics is the Korteweg-de Vries (KdV) equation. In the present work,
Shubham Mishra +4 more
doaj +1 more source
Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma
مجلة بغداد للعلوم, 2023 This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free ...
Krishna Ghode +2 more
doaj +1 more source
Coupled KdV equations derived from atmospherical dynamics
, 2005 Some types of coupled Korteweg de-Vries (KdV) equations are derived from an atmospheric dynamical system. In the derivation procedure, an unreasonable $y$-average trick (which is usually adopted in literature) is removed.
Ablowitz M J +19 more
core +2 more sources