| Hamiltonian Formalism of mKdV Equation with Non-vanishing Boundary Values |
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| 引用本文： | HE Jing-Song CHEN Shi-Rong. Hamiltonian Formalism of mKdV Equation with Non-vanishing Boundary Values[J]. 理论物理通讯, 2005, 44(2): 321-325 |
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| 作者姓名： | HE Jing-Song CHEN Shi-Rong |
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| 作者单位： | [1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China [2]Department of Mathematics, Huazhong Normal University, Wuhan 430079, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10375027 |
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| 摘 要： | Hamiltonian formalism of the mKdV equation with non-vanishing boundary value is re-examined by a revised form of the standard procedure. It is known that the previous papers did not give the final results and involved some questionable points [T.C. Au Yeung and P.C.W. Fung, J. Phys. A 21 （1988） 3575]. In this note, simple results are obtained in terms of an affine parameter and a Galileo transformation is introduced to ensure the results compatible with those derived from the inverse scattering transform.
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| 关 键 词： | Hamiltonian函数 mKdV方程 边值问题 仿射参数 |
| 收稿时间： | 2004-07-19 |
| 修稿时间： | 2004-07-192004-12-10 |
Hamiltonian Formalism of mKdV Equation with Non-vanishing Boundary Values |
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| HE;Jing-Song;CHEN;Shi-Rong. Hamiltonian Formalism of mKdV Equation with Non-vanishing Boundary Values[J]. Communications in Theoretical Physics, 2005, 44(2): 321-325 |
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| Authors: | HE Jing-Song CHEN Shi-Rong |
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| Abstract: | |
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| Keywords: | Hamiltonian formalism mKdV equation |
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