N-Soliton Solution of a Generalized Hirota-Satsuma Coupled KdV Equation and Its Reduction 被引量：1

N-Soliton Solution of a Generalized Hirota-Satsuma Coupled KdV Equation and Its Reduction

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摘要 Based on the Hirota method and the perturbation technique, the N-soliton solution of a generalized Hirota-Satsuma coupled KdV equation is obtained. Further, the N-soliton solution of a complex coupled KdV equation is given by reducing. Based on the Hirota method and the perturbation technique, the N-soliton solution of a generalized Hirota-Satsuma coupled KdV equation is obtained. Further, the N-soliton solution of a complex coupled KdV equation is given by reducing.

作者吴建平耿献国张晓琳

机构地区 Institute of Electronic Technology Department of Mathematics Zhengzhou Pilot Primary School of Economic and Technological Development Area

出处《Chinese Physics Letters》 SCIE CAS CSCD 2009年第2期5-8,共4页 中国物理快报（英文版）

分类号 O175.24 [理学—基础数学] O175.29 [理学—基础数学]

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1Ablowitz M J and Segur H 1981 Solitons and the Inverse Scattering Transform (Philadelphia, PA: SIAM).
2Novikov S P, Manakov S V, Pitaevskii L P and Zakharov V E 1984 Theory of Solitons, the Inverse Scattering Methods (New York: Consultants Bureau).
3Levi D 1988 Inverse Problems 4 165.
4Matveev V B, Salle M A 1991 Darboux Transformations and Solitons (Berlin: Springer).
5Hirota R 2004 The Direct Methods in Soliton Theory (Cam- bridge: Cambridge University Press).
6Hirota R and Ohta Y 1991 J. Phys. Soc. Jpn. 60 798.
7Ma W X and You Y C 2005 Trans. Amer. Math. Soc. 357 1753/
8Ma W X and Maruno K I 2004 Physica A 343 219.
9Geng X G 2003 J. Phys. A: Math. Gen. 36 2289.
10Hirota R and Satsuma J 1989 J. Phys. Soc. Jpn. 58 2285.

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1XU Rui.Darboux Transformations and Soliton Solutions for Classical Boussinesq-Burgers Equation[J].Communications in Theoretical Physics,2008,50(9):579-582. 被引量：4

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1司瑞芳.孤立子Kdv方程及其解[J].长春工程学院学报（自然科学版）,2012,13(3):122-125.
2范筑军,伍小明.广义Hirota-Satsuma偶合KdV方程的四孤子解[J].中山大学学报（自然科学版）,2000,39(4):15-18. 被引量：1
3陈黎丽.偶合KdV方程的两孤波解[J].浙江师大学报（自然科学版）,2000,23(4):390-391.
4WEI Han-yu,TONG Yan-chun,XIA Tie-chen.N-soliton Solution for Hirota-Satsuma Equation[J].Chinese Quarterly Journal of Mathematics,2012,27(2):270-273. 被引量：2
5郑维民.N-SOLITON SOLUTION OF G. Z. TU EQUATIONS[J].Chinese Science Bulletin,1987,32(3):210-211.
6樊国号,邓淑芳,张孟.Decay Mode Solutions for Kadomtsev-Petviashvili Equation[J].Communications in Theoretical Physics,2012,57(5):759-763.
7张金华,李薇.简化的双线性法求(2+1)维非对称Nizhnik-Novikov-Veselov系统的多孤子解[J].四川师范大学学报（自然科学版）,2015,38(2):243-248. 被引量：1
8张金华,李薇.简化的双线性法求Lax型7阶KdV方程的多孤子解[J].西南大学学报（自然科学版）,2014,36(9):81-87.
9吴建平.A Simple Approach to Derive a Novel N-Soliton Solution for a (3+1)-Dimensional Nonlinear Evolution Equation[J].Communications in Theoretical Physics,2010(5):812-814.
10Mei Na GAO Jing ZHANG.Small-divisor Equation of Higher Order with Large Variable Coefficient and Application to the Coupled KdV Equation[J].Acta Mathematica Sinica,English Series,2011,27(10):2005-2032.

Chinese Physics Letters

2009年第2期

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N-Soliton Solution of a Generalized Hirota-Satsuma Coupled KdV Equation and Its Reduction 被引量：1

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