| 形变映射法及在一类MKdV方程中的求解应用研究 |
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| 引用本文： | 王庆. 形变映射法及在一类MKdV方程中的求解应用研究[J]. 贵州大学学报(自然科学版), 2012, 29(4): 8-11 |
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| 作者姓名： | 王庆 |
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| 作者单位： | 辽宁对外经贸学院,辽宁大连,116052 |
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| 摘 要： | 形变映射法是求解非线性发展方程的一种有效方法,借助于计算机代数几何系统,得到了一类非线性波动方程与非线性Klein-Gordon(NKG)方程特殊类型解之间的代数映射关系,由此给出方程的许多显示精确解。并且由这些解再次映射出了一类MKdV方程的行波解,在物理学的研究方面具有重要的指导意义。
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| 关 键 词： | 形变映射法 一类MKdV方程 非线性发展方程的解 |
Deformation Mapping Method and Application Study in the Solution of A Kind Of Mkdv Equation |
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| WANG Qing. Deformation Mapping Method and Application Study in the Solution of A Kind Of Mkdv Equation[J]. Journal of Guizhou University(Natural Science), 2012, 29(4): 8-11 |
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| Authors: | WANG Qing |
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| Affiliation: | WANG Qing ( Liaoning University of International Business and Economics, Dalian 116052, China) |
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| Abstract: | Deformation mapping approach is an effective method for solving nonlinear evolution equations. With the help of computer algebra systems, it is a class of nonlinear wave equation with nonlinear Klein-Gordon （NKG） between solutions of algebraic equations of special type mappings, which gives many displays the exact solution of the equation. And once again, the solution maps out of the traveling wave solutions for a class of MK- dV equation. This has important guiding significance in physics research. |
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| Keywords: | deformation mapping approach a kind of MKdV equations solutions of nonlinear evolution equations |
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