In this article we examine different ways of introducing nonlocal effects in the complex modified Korteweg-de Vries (cmKdV) equation. Four possible nonlocal generalizations of the cmKdV equation are presented. I
(2009c), "Solitary wave simulations of complex modified Korteweg-de Vries equation using differential quadrature method", Computer Physics Communications, Vol. 180 No. 9, pp. 1516-1523.Solitary wave simulations of complex modifiedKorteweg-de Vries equation using differential quadrature method. A. ...
In this study, we studied the (2+1)-dimensional complex modified Korteweg-de Vries (cmKdV) system using the improved Ricatti equation method. cmKdV are nonlinear and coupled partial differential equations that arise in various fields of applied science and engineering, such as ferromagnetic material...
The dynamics of the poles of the two soliton solutions of the modified Korteweg-de Vries equation;u(t) + 6u(2)u(x) + u(xxx) - 0;are investigated. A consequence of this study is the existence of classes of smooth, complex valued solutions of this equation, defined for -infinity infini...
Zhang, J.Y., Yan, G.W.: A lattice Boltzmann model for the Korteweg–de Vries equation with two conservation laws. Comput. Phys. Commun.180, 1054–1062 (2009) MATHGoogle Scholar Yan, G.W., Yuan, L.: Lattice Bhatnagar–Gross–Krook model for the Lorenz attractor. Phys. D154, 43–50...
1. In the Atmosphere and Oceanic Fluids:Scaling Transformations,Bilinear Forms,Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation [J] . GAO Xin-yi ,GUO Yong-jiang ,SHAN Wen-rui . 中国海洋工程:英文版 . 2021,第4期 ...
On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions Very recently, Ablowitz and Musslimani introduced a new integrable nonlocal nonlinear Schr枚dinger equation. In this paper, we investigate an integrable no... JL Ji,ZN Zhu - 《Communications...
solitary wavesIn this research article, the authors investigate the interaction of solitary waves for complex modified Korteweg–de Vries (CMKdV) equations using Chebyshev pseudospectral methods. The proposed method is established in both time and space to approximate the solutions and to prove the ...
A Darboux transformation and general vector dark soliton solutions are constructed for multi-component complex modified Korteweg–de Vries (mKdV) system. Dark soliton solutions exist when nonlinearities are either defocusing or mixed focusing and defocusing. Single-dark–dark–dark and two-dark–dark–da...
5The Korteweg-De Vries Equation In the case of KdV, the qualitative behaviour of the solutions is similar to that of the BO equation. The dispersion prevents shock formation in the solution by breaking it up into a number of solitons, which is the famous discovery of Zabusky and Kruskal [...