Results 21 to 30 of about 7,942,123 (324)
Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation [PDF]
Complexity, 2019 In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton
Yong Fang, Baoyong Guo, Huanhe Dong
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Mixed lump-kink solutions to the BKP equation
Computers & Mathematics with Applications, 2017 By using the Hirota bilinear form of the (2+1)-dimensional BKP equation, ten classes of interaction solutions between lumps and kinks are constructed through Maple symbolic computations beginning with a linear combination ansatz.
Zhang, Jian-Bing +3 more
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Complexity, 2019 In this paper, the bilinear method is employed to investigate the rogue wave solutions and the rogue type multiple lump wave solutions of the (2+1)-dimensional Benjamin-Ono equation.
Zhonglong Zhao, Lingchao He, Yubin Gao
doaj +2 more sources
Multiple lump solutions of the (3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation
Applied Mathematics Letters, 2019 The bilinear method is employed to construct the multiple lump solutions of the (3+1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation in fluid dynamics. The 1-lump solutions, 3-lump solutions and 6-lump solutions are explicitly presented.
Zhonglong Zhao, Lingchao He
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Results in PhysicsIn this paper, we investigate lump solutions of the (3+1)-dimensional gCH-KP equation employing the Hirota’s bilinear method and symbolic computation method.
Bin He
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A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2+1)-Dimensions
Complexity, 2018 The Hirota-Satsuma-Ito equation in (2+1)-dimensions passes the three-soliton test. This paper aims to generalize this equation to a new one which still has abundant interesting solution structures.
Wen-Xiu Ma +2 more
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Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation
Advances in Mathematical Physics, 2018 A (2+1)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p=5. The new equation possesses the same bilinear form as the standard (2+1)-dimensional fifth-order KdV equation.
Sumayah Batwa, Wen-Xiu Ma
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Results in Physics, 2021 In this paper, we study the generalized Burgers equation with variable coefficients which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including 2-lump-type
Ziqiang Li +5 more
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Results in Physics, 2023 The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
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Heliyon, 2021 The present study investigates the lump, one-stripe, lump-stripe, and breather wave solutions to the (2+1)-dimensional Sawada-Kotera equation using the Hirota bilinear method.
Md. Emran Ali +4 more
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