| Newell方程的Backlund变换和新精确解 |
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| 引用本文： | 袁萍,邓畏平.Newell方程的Backlund变换和新精确解[J].吉首大学学报(自然科学版),2017,38(2):1. |
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| 作者姓名： | 袁萍 邓畏平 |
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| 作者单位： | （1.长江大学文理学院基础课部，湖北 荆州 434020；2.西南财经大学天府学院数学教学中心，四川 绵阳 621000） |
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| 基金项目： | 湖北省教育厅科学研究项目(B2016461) |
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| 摘 要： | 针对非线性数学物理研究中应用广泛的Newell方程的精确解问题，采用扩展的齐次平衡法获得Newell方程的一组Backlund变换，并利用此Backlund变换得到2组带有任意参数的精确解.这些结果与通过双曲正切法、试探函数法得到的结果进行比较，发现用Backlund变换得出的解的形式更加丰富，肯定了该方法的可行性和有效性.
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| 关 键 词： | 齐次平衡法 Backlund变换 Newell方程 精确解 |
Backlund Transformation and Exact Solutions of the Newell Equation |
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| YUAN Ping,DENG Weiping.Backlund Transformation and Exact Solutions of the Newell Equation[J].Journal of Jishou University(Natural Science Edition),2017,38(2):1. |
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| Authors: | YUAN Ping DENG Weiping |
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| Institution: | （1.Basic Courses Department,College of Art and Science,Yangtze University，Jingzhou 434020,Hubei China；2.Mathematics Teaching Center,Tianfu College of SWUFE,Mianyang 621000,Sichuan China） |
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| Abstract: | For the solutions of Newell equation,which is widely used in nonlinear mathematical physics,the Backlund transformation and two groups of exact solutions with arbitary paramaters are obtained through the method of extended homogeneous balance. Compared with the results obtained through hyperbolic tangent method and the trial function method,the solutions in this paper are richer,and the method is feasible and effective. |
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| Keywords: | homogeneous balance method Backlund transformation Newell equation exact solution |
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