Results 31 to 40 of about 7,942,123 (324)
Partial Differential Equations in Applied Mathematics, 2022 A generalized (2+1)-dimensional BKP equation with more second order nonlinear terms is studied. The different types of lump–kink solutions and lump–soliton solutions are constructed by using a combination of Hirota’s bilinear method and Maple symbolic ...
Qiao Huang, Yehui Huang, Liqin Zhang
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Prediction of general high-order lump solutions in the Davey–Stewartson II equation
Proceedings of the Royal Society A, 2023 Under investigation in this work is the Davey–Stewartson (DS) II equation. Based on the Kadomtsev–Petviashvili (KP) reduction method and Schur polynomial theory, we construct the general high-order lump solutions.
XueXin Yan, Haie Long, Yong Chen
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Multi lump and interaction solutions for Atangana conformable Boussinesq-like equation
Results in Physics, 2022 Atangana conformable Boussinesq-like equations (NLACBEs) plays an important role in shape-memory alloys, nonlinear string and coupled electrical circuits.
S.T.R. Rizvi +3 more
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Multi-lump formations from lump chains and plane solitons in the KP1 equation
, 2023 We show that complex higher-order lump patterns can be constructed in two different ways within the Kadomtsev–Petviashvili equation which describes nonlinear wave processes in media with positive dispersion. In the first approach, we start with solutions
Yang, Xiangyu +4 more
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Test of Siegel gauge for the lump solution [PDF]
Journal of High Energy Physics, 2001 LaTeX file, 14 ...
Mukhopadhyay, Partha, Sen, Ashoke
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Partial Differential Equations in Applied Mathematics, 2022 A generalized Bogoyavlensky–Konopelchenko equation is introduced by using p-generalized bilinear differential operators. The lump solutions, one-lump-one-kink and one-lump-two-kink solutions are derived with symbolic computations.
Si-Jia Chen, Xing Lü, Yu-Hang Yin
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Abundant lump-type solutions for the extended (3+1)-dimensional Jimbo–Miwa equation
Results in Physics, 2021 In this work, we research the mixed lump–kink solutions and their dynamic properties of the extended (3+1)-dimensional Jimbo–Miwa equation. Mixed lump–kink solutions are triggered by the interaction between lump soliton and exponential function, the ...
Mei Yang, M.S. Osman, Jian-Guo Liu
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Peculiarities of resonant interactions of lump chains within the KP1 equation
, 2022 Using the Hirota bilinear method, we derive resonant solutions to the KP1 equation. Solutions describe lump chains differently oriented in (x, y)-plane.
Li, Biao +4 more
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Various exact wave solutions for KdV equation with time-variable coefficients
Journal of Ocean Engineering and Science, 2022 In this study, we investigate the (2 + 1)-dimensional Korteweg-De Vries (KdV) equation with the extension of time-dependent coefficients. A symbolic computational method, the simplified Hirota’s method, and a long-wave method are utilized to create ...
Hajar F. Ismael +2 more
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Rational Solutions and Their Interaction Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation
Advances in Mathematical Physics, 2020 In this paper, we gave a form of rational solution and their interaction solution to a nonlinear evolution equation. The rational solution contained lump solution, general lump solution, high-order lump solution, lump-type solution, etc.
Xiaomin Wang, Sudao Bilige, Jing Pang
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