| 变系数辅助方程法与广义Hirota-Satsuma coupled KdV系统的行波解 |
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| 引用本文： | 李雪臣,苗宝军.变系数辅助方程法与广义Hirota-Satsuma coupled KdV系统的行波解[J].许昌学院学报,2012,31(5):1-5. |
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| 作者姓名： | 李雪臣 苗宝军 |
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| 作者单位： | 许昌学院数学与统计学院,河南许昌,461000 |
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| 基金项目： | 河南省自然科学基金项目(112300410186);河南省教育厅自然科学基金项目(2010A110019;12A110020) |
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| 摘 要： | 利用变系数辅助方程法讨论了广义Hirota-Satsuma coupled KdV方程组的精确行波解.根据齐次平衡原理又借助Maple软件计算工具获得了新的精确行波解,并且通过所得结果可以获得系统无穷多组精确行波解,丰富了该方程组的解系.
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| 关 键 词： | 广义Hirota-Satsuma coupled KdV方程组 变系数辅助方程法 齐次平衡原则 精确行波解 |
Variable Coefficient Auxiliary Equation Method and Traveling Wave Solutions of the Generalized Hirota-Satsuma Coupled KdV System |
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| LI Xue-chen,MIAO Bao-jun.Variable Coefficient Auxiliary Equation Method and Traveling Wave Solutions of the Generalized Hirota-Satsuma Coupled KdV System[J].Journal of Xuchang University,2012,31(5):1-5. |
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| Authors: | LI Xue-chen MIAO Bao-jun |
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| Institution: | (School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China) |
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| Abstract: | The exact traveling wave solutions of the generalized Hirota-Satsuma coupled KdV equations are investigated by combining variable coefficient auxiliary equation method,homogeneous balance principle and the Maple software.Some new traveling wave solutions are obtained and infinite exact traveling solutions are also obtained which can enrich corresponding equation solutions. |
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| Keywords: | generalized Hirota-Satsuma coupled KdV equations variable coefficient auxiliary equation method homogeneous balance principle exact traveling wave solution |
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