| A Super mKdV Equation: Bosonization,Painlevé Property and Exact Solutions |
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| 引用本文： | 任博,楼森岳.A Super mKdV Equation: Bosonization,Painlevé Property and Exact Solutions[J].理论物理通讯,2018,69(4):343-346. |
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| 作者姓名： | 任博 楼森岳 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos. 11775146, 11435005, and 11472177, Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No. ZF1213 and K. C. Wong Magna Fund in Ningbo University |
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| 摘 要： | The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV(BSmKdV)equation admits Painlevé property by the standard singularity analysis. The traveling wave solutions of the BSmKdV system are presented by the mapping and deformation method. We also provide other ideas to construct new super integrable systems.
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| 收稿时间： | 2017-11-15 |
A Super mKdV Equation: Bosonization,Painlevé Property and Exact Solutions |
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| Bo Ren,Sen-Yue Lou.A Super mKdV Equation: Bosonization,Painlevé Property and Exact Solutions[J].Communications in Theoretical Physics,2018,69(4):343-346. |
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| Authors: | Bo Ren Sen-Yue Lou |
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| Institution: | 1. Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China;
2. Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China;
3. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| Abstract: | The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV (BSmKdV) equation admits Painlevé property by the standard singularity analysis. The traveling wave solutions of the BSmKdV system are presented by the mapping and deformation method. We also provide other ideas to construct new super integrable systems. |
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| Keywords: | super mKdV equation bosonization approach Painlevé exact solutions |
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