Homotopic Approximate Solutions for the General Perturbed Burgers-BBM Equation

Baojian Hong; Dianchen Lu

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Homotopic Approximate Solutions for the General Perturbed Burgers-BBM Equation

机译：一般摄动Burgers-BBM方程的同伦近似解

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In this work, the general perturbed Burgers-Benjamin-Bona-Mohany (BBM) equation with dissipative term is studied by using the homotopy perturbation method. Firstly, we obtain the solitary wave and trigonometric function solutions of the corresponding typical general unperturbed Burgers-BBM equation through the mapping deformation method, secondly, a homotopic mapping transform is constructed, then the approximate solution with arbitrary degree of accuracy for the disturbed equation is researched, it is pointed out that the series of approximate solution is convergent. Finally, some simulation about u_0 and u_(1hom) are given. Which shows that these approximate solutions have good accuracy.

机译：在这项工作中，使用同伦扰动方法研究了具有耗散项的一般摄动的Burgers-Benjamin-Bona-Mohany（BBM）方程。首先，通过映射变形方法，获得了相应的典型一般无扰动的Burgers-BBM方程的孤波和三角函数解；其次，构造了同伦映射变换，然后对该扰动方程具有任意精度的近似解为研究表明，该近似解的序列是收敛的。最后，给出了关于u_0和u_（1hom）的一些仿真。这表明这些近似解具有良好的准确性。

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《Journal of information and computational science》 |2014年第11期|4003-4011|共9页
作者
Baojian Hong; Dianchen Lu;
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作者单位

Department of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China,Faculty of Science, Jiangsu University, Zhenjiang 212013, China;

Department of Basic Courses, Nanjing Institute of Technology, Nanjing 211167, China;

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正文语种 eng
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关键词
General Perturbed Burgers-BBM Equation with Dissipative Term; Homotopy Perturbation Method; The Approximate Solution; Small Perturbation Term;

机译：具有耗散项的一般摄动Burgers-BBM方程;同伦摄动法;近似解;小扰动项;

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3. Exact Solution of the Burgers-BBM and EW Equations Using the First Integral Method [J] . K. Hosseini, B. Daneshian, R. Ansari, Journal of nature science and sustainable technology . 2011,第2期

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4. Approximate Solitary Wave Solutions for a Perturbed BBM Equation by a Hybrid Approach [C] . Eerdun BUHE, Temuer CHAOLU International Conference on Information and Computing . 2010

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Homotopic Approximate Solutions for the General Perturbed Burgers-BBM Equation

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