Results 1 to 10 of about 238 (100)
A novel heuristic Morlet wavelet neural network design for the painlevé equation-II arising in nonlinear optics [PDF]
Scientific ReportsThe current investigations present the novel structure of Morlet wavelet neural network (MWNN) for the numerical solutions of Painlevé equation-II arising in nonlinear optics. An error based fitness function is constructed using the sense of differential
Sundas Faisal +4 more
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Full-deautonomisation of a class of second-order mappings in ancillary form [PDF]
Open Communications in Nonlinear Mathematical Physics, 2023 We present an application of the full-deautonomisation method to a class of secondorder mappings which, using an ancillary variable, can be cast into a form that greatly facilitates the study of their singularities.
Basil Grammaticos, Ralph Willox
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Painlevé Test and Exact Solutions for (1 + 1)-Dimensional Generalized Broer–Kaup Equations
Mathematics, 2022 In this paper, the Painlevé integrable property of the (1 + 1)-dimensional generalized Broer–Kaup (gBK) equations is first proven. Then, the Bäcklund transformations for the gBK equations are derived by using the Painlevé truncation.
Sheng Zhang, Bo Xu
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Journal of Ocean Engineering and Science, 2023 This article considers time-dependent variable coefficients (2+1) and (3+1)-dimensional extended Sakovich equation. Painlevé analysis and auto-Bäcklund transformation methods are used to examine both the considered equations.
Shailendra Singh, S. Saha Ray
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Examples and Counterexamples, 2022 Herein, the Painlevé analysis and Bäcklund transformation for the (3+1) dimensional Burger equation are presented. Using this analysis, it is shown that the equation under consideration non-integrable.
M.H.M. Moussa, Zidan M. Abd Al-Halim
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Alexandria Engineering Journal, 2023 In this analysis, we use the high order cubic B-spline method to create approximating polynomial solutions for fractional Painlevé and Bagley-Torvik equations in the Captuo, Caputo-Fabrizio, and conformable fractional sense concerning boundary set ...
Lei Shi +7 more
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Irregular conformal blocks, Painlevé III and the blow-up equations
Journal of High Energy Physics, 2020 We study the relation of irregular conformal blocks with the Painlevé III3 equation. The functional representation for the quasiclassical irregular block is shown to be consistent with the BPZ equations of conformal field theory and the Hamilton-Jacobi ...
Pavlo Gavrylenko +2 more
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Painlevé Analysis of the Cosmological Field Equations in Weyl Integrable Spacetime
Universe, 2022 We apply a singularity analysis to investigate the integrability properties of the gravitational field equations in Weyl Integrable Spacetime for a spatially flat Friedmann–Lemaître–Robertson–Walker background spacetime induced by an ideal gas.
Andronikos Paliathanasis
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AIP Advances, 2016 The N = 1 supersymmetric mKdVB system is transformed to a coupled bosonic system by using the bosonization approach.
Bo Ren
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Mathematical Modelling and Analysis, 1997 „On general representation of the meromorphic solutions of higher analogues of the second painleve equation" Mathematical Modelling Analysis, 2(1), p.61-65 First Published Online: 14 Oct ...
V. I. Gromak, T. S. Stepanova
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