Results 11 to 20 of about 31,173 (145)
New solutions for the (2 + 1)-dimensional nonlinear Schrӧdinger equation
Results in Physics, 2023 New exact solutions to the (1 + 1)-dimensional nonlinear Schrӧdinger equation are obtained by means of the exponential function test method. Further, the solutions of the (2 + 1)-dimensional nonlinear Schrӧdinger equation are also obtained by using ...
Changfu Liu, Gui Mu, Jinmei Liu
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Resolution-Optimal Exponential and Double-Exponential Transform Methods for Functions with Endpoint Singularities [PDF]
SIAM Journal on Scientific Computing, 2017 We introduce a numerical method for the approximation of functions which are analytic on compact intervals, except at the endpoints. This method is based on variable transforms using particular parametrized exponential and double-exponential mappings, in combination with Fourier-like approximation in a truncated domain.
Ben Adcock +2 more
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Fractal and Fractional, 2023 This paper examines the propagation of M-shape solitons and their interactions with kink waves to the (2 + 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by applying the symbolic computation with ansatz functions technique and ...
Sarfaraz Ahmed +3 more
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Computation of 3D Water Flows by the Double Potential Method for the Simulation of Electromagnetic Water Purification [PDF]
EPJ Web of Conferences, 2020 In this paper, we discuss the modeling of the electromagnetic water purification. This model requires a velocity distribution in a study domain. For that purpose, the double potential method for simulating incompressible viscous fluid flows was used. The
Tarasov Nikita +2 more
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Axioms, 2021 The Gerdjikov–Ivanov (GI) equation is one type of derivative nonlinear Schrödinger equation used widely in quantum field theory, nonlinear optics, weakly nonlinear dispersion water waves and other fields.
Huanhe Dong +4 more
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Open Physics, 2021 The symbolic computation with the ansatz function and the logarithmic transformation method are used to obtain a formula for certain exact solutions of the (3+1)\left(3+1) Zakharov–Kuznetsov (Z–K) equation. We use homoclinic breather, three waves method,
El-Rashidy Khaled +3 more
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Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method
Advances in Difference Equations, 2020 In this paper, we present a numerical method to solve two-dimensional fuzzy Fredholm integral equations (2D-FFIE) by combing the sinc method with double exponential (DE) transformation.
Yanying Ma, Hu Li, Suping Zhang
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A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function [PDF]
Symmetry, 2021 The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.
Robert Reynolds 0003, Allan Stauffer
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Alexandria Engineering Journal, 2020 In this study, we construct multi wave solutions for the (2 + 1)-dimensional Sakovich equation by utilizing the logarithmic transformation of the dependent variables and symbolic computation with the ansatz function technique.
Yeşim Sağlam Özkan, Emrullah Yaşar
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Generalized multi-channel scheme for secure image encryption
Scientific Reports, 2021 The ability of metamaterials to manipulate optical waves in both the spatial and spectral domains has provided new opportunities for image encoding. Combined with the recent advances in hyperspectral imaging, this suggests exciting new possibilities for ...
Romil Audhkhasi, Michelle L. Povinelli
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