A New Periodic Solution to Jacobi Elliptic Functions of MKdV Equation and BBM Equation
查看参考文献42篇
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文摘
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Based on the homogeneous balance method,the Jacobi elliptic expansion method and the auxiliary equation method,the first elliptic function equation is used to get a new kind of solutions of nonlinear evolution equations.New exact solutions to the Jacobi elliptic function of MKdV equations and Benjamin-Bona-Mahoney (BBM) equations are obtained with the aid of computer algebraic system Maple.The method is also valid for other (1+1)-dimensional and higher dimensional systems. |
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来源
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Acta Mathematicae Applicatae Sinica-English Series
,2012,28(2):409-415 【核心库】
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DOI
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10.1007/s10255-012-0153-7
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关键词
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(1+1)-dimensional MKdV equation
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BBM equation
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auxiliary equation method
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traveling wave solution
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nonlinear
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地址
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1.
Department of Applied Mathematics, College of Science, Donghua University, Shanghai, 201620
2.
School of Mathematics and Information Sciences, Henan University, Kaifeng, 475000
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0168-9673 |
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学科
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数学;物理学 |
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基金
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国家自然科学基金
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Foundation of Donghua University
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文献收藏号
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CSCD:4524617
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参考文献 共
42
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