Results 31 to 40 of about 4,699 (155)
Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation
Results in Physics, 2023 One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation.
Hajar F. Ismael +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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Lump Solutions for PDE's: Algorithmic Construction and Classification [PDF]
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estévez, P. G., Prada, J.
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Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2017 Based on the symbolic computation, a class of lump solutions to the (2+1)-dimensional Sawada-Kotera (2DSK) equation is obtained through making use of its Hirota bilinear form and one positive quadratic function.
Xian Li, Yao Wang, Meidan Chen, Biao Li
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Results in Physics, 2023 This study uses the Hirota bilinear method and Maple, a symbolic computation program, to derive lump solutions for a new integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations.
Shao-Wen Yao +4 more
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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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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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Partial Differential Equations in Applied Mathematics, 2021 This current study’s primary aim is to discover new and exact traveling wave solutions to the time-fractional phi-four equation and the (2+1) dimensional Calogero–Bogoyavlanskil schilf (CBS) equation in the perspective of nonlinear traveling wave ...
Lohani Md. Badrul Alam +2 more
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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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Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation
Advances in Mathematical Physics, 2022 Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare.
Bao Wang, Zhiqiang Chen
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