| Trajectory equation of a lump before and after collision with other waves for generalized Hirota–Satsuma–Ito equation |
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| 作者姓名： | 夏亚荣 张开开 姚若侠 申亚丽 |
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| 作者单位： | 2. School of Science, Xi'an University of Architecture and Technology;3. School of Computer Science, Shaanxi Normal University |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 12001424 and 12271324)；;the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2021JZ-21)；;the Chinese Post Doctoral Science Foundation (Grant No. 2020M673332)； |
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| 摘 要： | Based on the Hirota bilinear and long wave limit methods, the hybrid solutions of m-lump with n-soliton and nbreather wave for generalized Hirota–Satsuma–Ito(GHSI) equation are constructed. Then, by approximating solutions of the GHSI equation along some parallel orbits at infinity, the trajectory equation of a lump wave before and after collisions with n-soliton and n-breather wave are studied, and the expressions of phase shift for lump wave before and after collisions are given. Furthermore, ...
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