Fluids are common in nature, the study of which helps the design of the related industries. Under investigation in this letter is the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid. Pfaffian solutions have been obtained based on the Pfaffian technique with the assistance of the real auxiliary function phi(y). N-soliton solutions with phi(y) are constructed, where y is the scaled space coordinate and phi(y) is the steady stream function in the irrotational incompressible flow. Background shapes of the solutions are affected by phi(y), but the structures of the solutions are affected by the derivative of the log terms in the solutions. Neighborhoods at the origins of the solitons are different in consequence of the different values of the real auxiliary parameter a. One- and two-soliton solutions are illustrated, which are the superpositions of the two kink solitons and different forms of phi(y). Interactions of the two solitons are presented, from which we see that the velocities, amplitudes and shapes of the two solitons remain unchanged before and after each interaction.
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Cai, Liu-Ying
Wang, Xin
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Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Henan, Peoples R China
Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Wang, Xin
Wang, Lei
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Wang, Lei
Li, Min
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Li, Min
Liu, Yong
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Liu, Yong
Shi, Yu-Ying
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
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North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
Chen, Fei-Peng
Chen, Wei-Qin
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North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
Chen, Wei-Qin
Wang, Lei
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North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
Wang, Lei
Ye, Zhen-Jun
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North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
机构:
North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Cai, Liu-Ying
Wang, Xin
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h-index: 0
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Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Henan, Peoples R China
Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Wang, Xin
Wang, Lei
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Wang, Lei
Li, Min
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h-index: 0
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Li, Min
Liu, Yong
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
Liu, Yong
Shi, Yu-Ying
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h-index: 0
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North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
机构:
North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
Chen, Fei-Peng
Chen, Wei-Qin
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机构:
North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
Chen, Wei-Qin
Wang, Lei
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机构:
North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
Wang, Lei
Ye, Zhen-Jun
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North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R ChinaNorth China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China