Results 221 to 230 of about 3,516,005 (280)

Lax equations scattering and KdV

Journal of Mathematical Physics, 2003
The study of the Korteveg–de Vries (KdV) equation is considered as a special chapter of potential scattering where the dynamic scattering equation is a set of coupled “Lax” equations. With this approach, all points of view and all tools of potential scattering have their counterpart in the standard inverse scattering transform, which appears as a ...
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A hybrid numerical method for the KdV equation by finite difference and sinc collocation method

Applied Mathematics and Computation, 2019
In this paper, we propose a hybrid numerical method for the KdV equation. More precisely, we discretize the temporal derivative of KdV equation by a θ-weighted scheme and treat the implicitly nonlinear term with the combination of finite difference and ...
Desong Kong, Yufeng Xu, Zhoushun Zheng
semanticscholar   +1 more source

Classification of Dark Modified KdV Equation

Communications in Theoretical Physics, 2017
Summary: The dark Korteweg-de Vries (KdV) systems are defined and classified by Kupershmidt sixteen years ago. However, there is no other classifications for other kinds of nonlinear systems. In this paper, a complete scalar classification for dark modified KdV (MKdV) systems is obtained by requiring the existence of higher order differential ...
Xiong, Na, Lou, Sen-Yue, Li, Biao, Chen, Yong   +3 more
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Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system

Communications in nonlinear science & numerical simulation, 2018
A new general nonlocal modified KdV equation is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-plane.
Xiaoyan Tang, Zu-feng Liang, Xiazhi Hao
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Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative

Physica A: Statistical Mechanics and its Applications, 2018
This work presents analysis of the logarithmic-KdV equation involving new fractional operator called Atangana–Baleanu (AB) fractional derivative with Mittag-Leffler (ML) type kernel.
A. Yusuf, A. I. Aliyu, D. Baleanu
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Non-singular multi-complexiton wave to a generalized KdV equation

Nonlinear dynamics, 2023
K. Hosseini, E. Hinçal, D. Baleanu, O. A. Obi, S. Salahshour   +4 more
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Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota’s bilinear method

Nonlinear dynamics, 2022
Marwan Alquran, Rahaf Alhami
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Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method

Optical and quantum electronics, 2022
Rahaf Alhami, Marwan Alquran
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On KdV type equations

Applied Mathematics and Computation, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Forced KdV Equation

1993
In this chapter we study the forced Korteweg-de Vries equation (fKdV) : $$ {u_{t}} + \lambda {u_{x}} + 2\alpha u{u_{x}} + \beta {u_{{xxx}}} = f'(x), - \infty < x < \infty $$ where λ, α 0) such that (a) when λ ≥ λ C the fKdV admits at least two stationary solitary wave solutions and λ = λ C is the turning point of the bifurcation curve;
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