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Kdv-Burgers方程和Schrding-KdV耦合方程的显式行波解

Travelling wave solutions to KdV-Burgers equation and Schrding-KdV coupled equations

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【作者】 徐昌智郑春龙

【Author】 XU Chang-zhi 1ZHENG Chun-long 2(1 Department of Physics,Jinhua College of Education, Jinhua,Zhejiang 321000, C hina; 2 Department of Physics, Zhejiang Lishui Normal College, Lishui, Zhejia ng 323000,China)

【机构】 浙江金华教育学院物理系浙江丽水师专物理系 浙江金华321000浙江丽水323000

【摘要】 提出了一种基于形变映射理论的构造非线性方程行波解的方法 ,并用该方法求得了非线性Kdv Burgers方程和耦合Schr ding KdV方程的行波解。这种方法不仅找到了先前用其他复杂方法求得的若干精确解 ,而且在有的情况下还可找到新的解或更为一般形式的精确解。

【Abstract】 In this work, a new approach to nonlinear physical system mainly based on the de formation mapping theory is proposed and successfully applied to some classical physical models such as KdV-Burgers model and Schrding-KdV model. Not only a re the previously known solutions obtained by more sophisticated method recovere d, but also in some cases new solutions or more general forms of solutions are d erived.

  • 【文献出处】 贵州师范大学学报(自然科学版) ,Journal of Guizhou Normal University(Natural Science) , 编辑部邮箱 ,2003年03期
  • 【分类号】O175
  • 【被引频次】9
  • 【下载频次】129
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