Hirota-Satsuma coupled Korteweg-de Vries equationLax pairmatrix generalizationvector Hirota-Satsuma coupled KdV equationHirota bilinear methodmultisoliton solutionpfaffian techniques/ A0340K Waves and wave prop
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] Hirota Rt Satsuma J.Soliton solutions of a coupled Korteweg-de veries equation [J] 。P hys Lett A t 1981 t 85 ( 4) I 407—408. [2] }【u Hc ,IAu Q 只№wDar~oux tran~ormadon/or }五埘ta.Sats吼la o叫p KdV syst~nl EE .Ch~os So, m.and Fract~ t Z003,17 ( 10...
(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...
Fan Engui.Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation.Physics Letters. 2001Guo-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 ...
Xingbiao, H.: Nonlinear superposition formula of the KdV equation with a source. J. Phys. A: Math. Gen. 24, 5489–5497 (1991) MathSciNet MATH Google Scholar Huo, J., Bao, T.: Application of Bell polynomial in the generalized (2+1)-dimensional Nizhnik-Novikov-Veselov equation. Nonl...
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...
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...
the generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equation is derived with the aid of the gauge transformation between the corresponding 4x4 matrix spectral problems with three potentials, by which some explicit solutions of the generalized Hirota-Satsuma coupled KdV equation are constructed...
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...