Invariant interaction solutions for a supersymmetric mKdV equation |
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| Institution: | 1. Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China;2. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;1. Graduate Institute of Applied Physics, National Chengchi University, Taipei 11605, Taiwan;2. Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan;1. Department of Applied Physics, Xi’an Jiaotong University, Xi’an 710049, China;2. Department of Physics, Weinan Normal University, Weinan 714099, China;1. School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China;2. Complex Systems and Network Science Research Center, Southeast University, Nanjing 210096, China;3. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210097, China;1. School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an, Zhejiang 311300, PR China;2. Zhejiang Provincial Key Laboratory of Chemical Utilization of Forestry Biomass, Zhejiang A & F University, Lin’an, Zhejiang 311300, PR China |
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| Abstract: | The bosonic supersymmetric modified KdV (BSmKdV) system is obtained by the bosonization approach. The nonlocal symmetry for the BSmKdV equation is obtained by the truncated Painlevé method. By introducing multiple new fields, the finite symmetry transformation for the BSmKdV equation is derived by applying Lie’s first principle to the prolonged systems. The similarity reductions related to the nonlocal symmetry are studied. The interaction solutions among the solitons and other complicated waves, including Painlevé II waves and periodic cnoidal waves, are presented through the reduction theorems. The concrete soliton-cnoidal interaction solutions are illustrated in detail by using the mapping and deformation method. |
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