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Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
Institution:1. School of Computer Science and Technology, East China Normal University, Shanghai 200241, P. R. China;2. School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai 200241, P. R. China;1. National University of Computer and Emerging Sciences, Islamabad, Chiniot-Faisalabad Campus, Pakistan;2. National University of Computer and Emerging Sciences, Islamabad, Lahore Campus, Pakistan;3. Department of Mathematics, Shanghai University, Shanghai, Shanghai, 200444, People’s Republic of China;1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;2. Department of Mathematical Sciences Federal Urdu University of Arts, Sciences & Technology, Islamabad 44000, Pakistan;1. Department of Physics, Naragh Branch, Islamic Azad University, Naragh, Iran;2. Department of Nuclear Physics, Faculty of Basic Science, University of Mazandaran, P.O.Box 47415-416, Babolsar, Iran;1. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;2. MOE International Joint Lab of Trustworthy Software, East China Normal University, Shanghai 200062, China
Abstract:To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method together with the inheritance solving skill. Moreover, a new algorithm is proposed with the aid of the simplified Hirota method, the conjugated parameters assignment and long wave limit strategies, from which multiwave interaction solutions among solitons, breathers and lump waves are generated.
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