A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method
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DOI: 10.1007/s00366-021-01419-2
Abstract: In this study, frequency simulation and critical angular velocity of a size-dependent laminated rotary microsystem using modified couple stress theory (MCST) as the higher-order elasticity model is undertaken. The centrifugal and Coriolis impacts due to… read more here.
Keywords: rotary microsystem; size dependent; microsystem; dimensional generalized ... See more keywords
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation
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DOI: 10.1007/s13324-020-00414-y
Abstract: With the Hirota bilinear method and symbolic computation, we investigate the $$(3+1)$$ -dimensional generalized Kadomtsev–Petviashvili equation. Based on its bilinear form, the bilinear Backlund transformation is constructed, which consists of four equations and five free… read more here.
Keywords: wronskian grammian; kadomtsev petviashvili; petviashvili equation; dimensional generalized ... See more keywords
Abundant exact solutions for the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients
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DOI: 10.1016/j.cjph.2020.03.010
Abstract: Abstract The (3+1)-dimensional generalized nonlinear Schrodinger equation with variable coefficients (3D-VcgNLSE) and optical lattice is investigated. Bright and dark soliton solutions are presented by two direct ansatz. Two similar solutions are obtained in terms of… read more here.
Keywords: equation variable; variable coefficients; abundant exact; dimensional generalized ... See more keywords
Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
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DOI: 10.1016/j.cjph.2021.03.001
Abstract: Abstract To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method… read more here.
Keywords: solutions dimensional; generalized kadomtsev; interaction solutions; kadomtsev petviashvili ... See more keywords
Exact solitary wave solutions to the new (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation
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DOI: 10.1016/j.ijleo.2016.10.014
Abstract: Abstract The new (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation, which was introduced by Wazwaz and El-Tantawy in 2016, has been studied analytically. There are two tools of integration are employed to solve this mathematical–physical model. First, We… read more here.
Keywords: kadomtsev petviashvili; wave solutions; solitary wave; dimensional generalized ... See more keywords
Housing price spillovers in China: A high-dimensional generalized VAR approach
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DOI: 10.1016/j.regsciurbeco.2017.10.016
Abstract: Applying a proposed spillover index of high-dimensional generalized VAR framework, this paper, for the first time, explores housing price spillovers among 69 large- and medium-sized Chinese cities from July 2005 to June 2015. We find… read more here.
Keywords: high dimensional; housing; price; dimensional generalized ... See more keywords
A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach
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DOI: 10.1016/j.rinp.2020.103197
Abstract: Abstract In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct integration. Moreover, Kudryashov’s method is… read more here.
Keywords: generalized korteweg; dimensional generalized; korteweg vries; zakharov kuznetsov ... See more keywords
New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas
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DOI: 10.1063/1.4999913
Abstract: In this paper, we aim to introduce a new form of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation for the long waves of small amplitude with slow dependence on the transverse coordinate. By using the Hirota’s bilinear… read more here.
Keywords: kadomtsev petviashvili; petviashvili equation; dimensional generalized; new exact ... See more keywords
The three-dimensional generalized Hénon map: Bifurcations and attractors.
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DOI: 10.1063/5.0103436
Abstract: We study dynamics of a generic quadratic diffeomorphism, a 3D generalization of the planar Hénon map. Focusing on the dissipative, orientation preserving case, we give a comprehensive parameter study of codimension-one and two bifurcations. Periodic… read more here.
Keywords: map; dimensional generalized; non map; map bifurcations ... See more keywords
Dynamical analysis of lump solutions for (3 + 1) dimensional generalized KP–Boussinesq equation and Its dimensionally reduced equations
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DOI: 10.1088/1402-4896/aac8b8
Abstract: This paper analyzes a new form of the (3 + 1) dimensional generalized Kadomtsev–Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring… read more here.
Keywords: generalized boussinesq; boussinesq equation; dimensional generalized; dimensionally reduced ... See more keywords
Pfaffian and extended Pfaffian solutions for a (3+1)-dimensional generalized wave equation
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DOI: 10.1088/1402-4896/ab35ef
Abstract: Under investigation in this paper is a (3+1)-dimensional generalized wave equation, which is the second equation in the Kadomtsev–Petviashvili hierarchy. Linear partial differential conditions presented in this paper are different from the previous study. Pfaffian… read more here.
Keywords: extended pfaffian; pfaffian solutions; pfaffian extended; equation ... See more keywords