Results 51 to 60 of about 62,135,588 (169)
Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.ABSTRACT We consider the extended Korteweg–de Vries (eKdV) equation as a model for long moderately nonlinear surface water waves and use it to describe the evolution of initial conditions generating solitary waves with and without significant dispersive radiation, as well as cases of pure dispersive radiation without any solitary waves.
Benjamin Martin +2 more
wiley +1 more source
Teoria quase-linear de Kato e a KdV transicional [PDF]
, 1998 Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro de Ciências Físicas e Matemáticas.Neste trabalho desenvolvemos a teoria linear e quase-linear de T.
Chavez Fuentes, Jorge Richard
core
Open Physics, 2018 In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing ...
Wang Jianyong +4 more
doaj +1 more source
KdV limit for the Vlasov–Poisson–Landau system
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We are concerned with the fluid limit to KdV equations for the one‐dimensional Vlasov–Poisson–Landau system that describes the dynamics of ions in plasma with the electron density determined by the self‐consistent electric potential through the so‐called Boltzmann relation. Formally, it is well known that as the Knudsen number ε→0$\varepsilon \
Renjun Duan, Dongcheng Yang, Hongjun Yu
wiley +1 more source
Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
White Noise Driven Korteweg–de Vries Equation [PDF]
, 1999 We consider a stochastic Korteweg–de Vries equation on the real line. The noise is additive. We use function spaces similar to those introduced by Bourgain to prove well posedness results for the Korteweg–de Vries equation in L2(R). We are able to handle
de Bouard, A. +2 more
core +1 more source
Results in PhysicsUsing the Jacobi elliptic function expansion method, which is improved by the novel use of truncated M-fractional derivatives, we thoroughly analyze the improved modified Korteweg-de Vries problem in this paper.
Aamir Farooq +3 more
doaj +1 more source
Ain Shams Engineering Journal, 2018 In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad +2 more
doaj +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
On the Stochastic Korteweg–de Vries Equation [PDF]
, 1998 We consider a stochastic Korteweg–de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure.
de Bouard, A, Debussche, A
core +1 more source