Results 41 to 50 of about 118,565 (240)
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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Partial Differential Equations in Applied Mathematics, 2021 We construct lump wave solution by using parametric limit approach from an interaction of double soliton solutions to the (2+1)-dimensional shallow water wave equation.
Fahad Sameer Alshammari +2 more
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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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Dynamic Tax Competition under Asymmetric Productivity of Public Capital [PDF]
, 2009 We here expand the static tax competition models in symmetric small regions, which were indicated by Zodrow and Mieszkowski (1986) and Wilson (1986), to a dynamic tax competition model in large regions, taking consideration of the regional asymmetry of ...
Hidaka, M., Tanaka, H.
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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, multi-lump, cross kinky-lump and manifold periodic-soliton solutions for the (2+1)-D Calogero–Bogoyavlenskii–Schiff equation [PDF]
Heliyon, 2020 A bilinear form of the (2+1)-dimensional nonlinear Calogero-Bogoyavlenskii-Schiff (CBS) model is derived using a transformation of dependent variable, which contain a controlling parameter. This parameter can control the direction, wave height and angle of the traveling wave.
Harun-Or- Roshid +2 more
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The Energy of Scattering Solitons in the Ward Model
, 2004 The energy density of a scattering soliton solution in Ward's integrable chiral model is shown to be instantaneously the same as the energy density of a static multi-lump solution of the $\CP^3$ sigma model.
Ioannidou, T., Manton, N. S.
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Discrete Dynamics in Nature and Society, 2022 In this article, a generalized (3 + 1)-dimensional nonlinear evolution equation (NLEE), which can be obtained by a multivariate polynomial, is investigated. Based on the Hirota bilinear method, the N-soliton solution and bilinear Bäcklund transformation (
Yali Shen, Ying Yang
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Exact solutions of a (3+1)-dimensional nonlinear evolution equation based on its Wronskian form
Partial Differential Equations in Applied Mathematics, 2022 In this paper, the Hirota bilinear method is applied to investigate the exact solutions of a (3+1)-dimensional nonlinear evolution equation. The soliton, breather and lump solutions satisfying specific Wronskian conditions are obtained.
Yaning Tang, Zaijun Liang
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Lump solutions in SFT. Complements
, 2011 Recently a possible violation of the equation of motion for the recently proposed lump solutions in open SFT has been pointed out in the literature. In this paper we argue that, when the issue is considered in the appropriate mathematical setting of distribution theory, no violations to the equation of motion occur.
Bonora, L., Giaccari, S., Tolla, D. D.
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