| 某些非线性发展方程新的精确解(英文) |
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| 引用本文： | 杜先云,尚亚东.某些非线性发展方程新的精确解(英文)[J].广州大学学报(自然科学版),2010,9(6). |
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| 作者姓名： | 杜先云 尚亚东 |
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| 作者单位： | 1. 绵阳师范学院,数学与计算机科学系,四川,绵阳,621000
2. 广州大学,数学与信息科学学院,广东,广州,510006 |
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| 摘 要： | 利用新的辅助微分方程,描述了一个构造数学物理中非线性发展偏微分方程精确解的直接代数方法.借助这种方法,考察了某些具有重要应用背景的非线性发展偏微分方程,并且获得了丰富的新的精确行波解.所得结果推广了先前文献的结果.
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| 关 键 词： | 非线性发展方程 辅助方程 精确解 行波解 |
Abundant new exact travelling solutions for some nonlinear evolution equations |
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| DU Xian-yun,SHANG Ya-dong.Abundant new exact travelling solutions for some nonlinear evolution equations[J].Journal og Guangzhou University:Natural Science Edition,2010,9(6). |
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| Authors: | DU Xian-yun SHANG Ya-dong |
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| Abstract: | By using new solutions of auxiliary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution partial differential equations in mathematical physics. By this method,some well-known nonlinear evolution partial differential equations with important applied backgrounds are investigated and abundant new exact travelling wave solutions are obtained. The previous results in literature are extended. |
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| Keywords: | nonlinear evolution equation auxiliary equation exact solutions travelling wave solution |
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