New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation

机译：Korteweg-de Vries Burgers方程和Korteweg-de Vries方程的新精确解决方案

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To obtain new exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation, with the aid of symbolic computation, the Korteweg-de Vries Burgers equation and Korteweg-de Vries equation are investigated by using the trigonometric function transform method. More exact traveling wave solutions are obtained, and new exact traveling wave solutions are obtained for Korteweg-de Vries equation. The exact solutions for the nonlinear differential evolution equation are efficient and widely applicable.

机译：为获得Korteweg-de Vries Burgers方程和Korteweg-de Vries方程的新精确解决方案，借助符号计算，通过使用三角函数变换方法来研究Korteweg-de Vries汉堡方程和Korteweg-de Vries方程。获得了更精确的行波解决方案，为Korteweg-de Vries方程获得了新的精确行驶波解决方案。非线性差分演化方程的精确解决方案是有效和广泛的应用。

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《International Conference on Management Science and Industrial Engineering》|2010年||共4页
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中图分类 C93-53;
关键词
KdV equation; KdV-Burgers equation; exact solutions; symbolic computation; the trigonometric function transform method;

机译：KDV方程;KDV-Burgers方程;精确的解决方案;象征性计算;三角函数变换方法;

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2. Numerical Solutions of Korteweg-de Vries and Korteweg-de Vries-Burger's Equations in a Bernstein Polynomial Basis [J] . Ahmed H. M. Mediterranean journal of mathematics . 2019,第4期

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3. Boundary stabilization of the korteweg-de vries equation and the Korteweg-de Vries-Burgers equation [J] . Jia C., Zhang B.-Y. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2012,第1期

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5. Some results on the one-dimensional linear wave equation with van der Pol type nonlinear boundary conditions and the Korteweg-de Vries-Burgers equation. [D] . Feng, Zhaosheng. 2004

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6. Exact solutions of unsteady Korteweg-de Vries and time regularized long wave equations [O] . S M Rayhanul Islam, Kamruzzaman Khan, M Ali Akbar -1

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7. Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane [O] . Bona Jerry L., Sun S. M., Zhang Bing-Yu 2008

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New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation

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