Results 11 to 20 of about 9,899 (289)
Test of Siegel gauge for the lump solution [PDF]
Journal of High Energy Physics, 2001 We test the validity of the Siegel gauge condition for the lump solution of cubic open bosonic string field theory by checking the equations of motion of the string field components outside the Siegel gauge.
Sen, Ashoke, Mukhopadhyay, Partha
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Emergence and Interaction of the Lump-Type Solution with the (3+1)-D Jimbo-Miwa Equation
Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2017 A kinky breather-soliton solution and kinky periodic-soliton solution are obtained using Hirota’s bilinear method and homoclinic test approach for the (3+1)-dimensional Jimbo-Miwa equation. Based on these two exact solutions, some lump-type solutions are
Wei Tan, Zheng-De Dai
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Advances in Mathematical Physics, 2021 The soliton molecules, as bound states of solitons, have attracted considerable attention in several areas. In this paper, the 2+1-dimensional higher-order Boussinesq equation is constructed by introducing two high-order Hirota operators in the usual 2+1-
Bo Ren
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Partial Differential Equations in Applied Mathematics, 2022 In this script, we consider the modified Oskolkov equation in incompressible viscoelastic Kelvin–Voigt fluid and fluid dynamics. A dominant direct algebraic method namely modified simple equation method (MSE) uses to retrieve various dynamical structural
M.M. Roshid +3 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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A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation
Complexity, 2019 Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being ...
Xi-zhong Liu +3 more
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Complexity, 2021 In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers
Hongcai Ma, Qiaoxin Cheng, Aiping Deng
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Lump solutions of the fractional Kadomtsev–Petviashvili equation
Fractional Calculus and Applied AnalysisOf concern is the fractional Kadomtsev–Petviashvili (fKP) equation and its lump solution. As in the classical Kadomtsev–Petviashvili equation, the fKP equation comes in two versions: fKP-I (strong surface tension case) and fKP-II (weak surface tension ...
Bruell, G. +4 more
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Results in Physics, 2022 In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li +3 more
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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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