By introducing a Lax pair, we present a matrix generalization of the Hirota–Satsuma coupled KdV equation, which is shown to be reduced to a vector Hirota–Satsuma coupled KdV equation. By using Hirota's bilinea
Addendum to: Coupled KdV equations of Hirota-Satsuma type. J. Nonlinear Math. Phys. 8 (2001) 311-312 [arXiv:nlin/0104072].Sakovich S.Yu., Coupled KdV equations of Hirota-Satsuma type, J. Nonlinear Math. Phys. 6 (1999), 255-262, solv-int/9901005. Sakovich S.Yu., Addendum to: "...
Applied Mathematics, 2012, 3, 1983-1989 http://dx.doi.org/10.4236/am.2012.312273 Published Online December 2012 (http://www.SciRP.org/journal/am) Homotopy Perturbation Method for the GeneralizedHirota-Satsuma Coupled KdV Equation Dalal A. Maturi Department of Mathematics, Faculty of Science, King...
(1) reduces respectively to a new complex coupled KdV equation [1] and the Hirota–Satsuma equation [2], [3]. Eq. (2) becomes a generalized KdV equation for u=0 and the MKdV equation for v=0, respectively. The soliton solutions for these two equations are still unknown. The aim of...
Coupled KdV equations of Hirota–Satsuma typeSakovich S YuIt is shown that one system of coupled KdV equations, found in J. Nonlin. Math. Phys., 1999, V.6, N 3, 255262 to possess the Painlev property, is integrable but not new.
Hirota—Satsuma耦合KdV方程行波解的分支 唐生强,周显潮 (桂林电子科技大学数学与计算科学学院,广西桂林541004) [摘要]运用平面动力系统理论.研究了Hirota—Satsuma耦合KdV方程,证明该方程存在光滑孤立波解、 扭结波和反扭结波解以及无穷多光滑周期波解。并在不同的参数条件下.给出了光滑孤立波解、扭结波 ...
Guo-Zhong Z, Xi-Jun Y, Yun X, Jiang Z, Di W (2010) Approximate analytic solutions for a generalized Hirota Satsuma coupled KdV equation and a coupled mKdV equation. Chin Phys B 19: 1-9.FAN E. Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV ...
generalized Hirota-Satsuma coupled KdV方程 1. This paper discusses the solution of convergence of thegeneralized Hirota-Satsuma coupled KdV equationwith the ADM method and obtains the sufficient condition for such convergence. 对用ADM方法解generalized Hirota-Satsuma coupled KdV方程的收敛性进行分析,得出了...
对用ADM方法解generalized Hirota-Satsuma coupled KdV方程的收敛性进行分析,得出了该方法收敛的充分条件并给予了证明。 4) generalized Hirota-Satsuma coupled Korteweg-de Vries equation Hirota-Satsuma型耦合Korteweg-de Vries方程 1. By introducing gauge transformation of the Lax pair of thegeneralized Hirota-Sat...
用改进的齐次平衡法,首先把不可积的一般Hirota-Satsuma方程简化成可积模型—KdV方程,然后通过求解KdV方程得到了一般Hirota-Satsuma方程的多孤子解。4) generalized Hirota-Satsuma coupled KdV equation generalized Hirota-Satsuma coupled KdV方程 1. This paper discusses the solution of convergence of the generalized...