Results 21 to 30 of about 8,345 (262)
Extended Gâ²G-expansion method for CalogeroâBogoyavlinskiiâSchiff equation of fractional order
Journal of Taibah University for Science, 2017 In this paper, we explore new applications of the extended Gâ²G-expansion method. We apply this method to the nonlinear CalogeroâBogoyavlinskiiâSchiff equation of fractional order.
Syed Tauseef Mohyud-Din, Fitnat Saba
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Travelling wave solutions on an axisymmetric ferrofluid jet [PDF]
Journal of Fluid Mechanics, 2019 We consider a potential flow model of axisymmetric waves travelling on a ferrofluid jet. The ferrofluid coats a copper wire, through which an electric current is run. The induced azimuthal magnetic field magnetises the ferrofluid, which in turn stabilises the well known Plateau–Rayleigh instability seen in axisymmetric capillary jets.
A. Doak, J.-M. Vanden-Broeck
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Exact Travelling Wave Solutions of a Beam Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2021 In this paper we make a full analysis of the symmetry reductions of a beam equation by using the classical Lie method of infinitesimals and the nonclassical method. We consider travelling wave reductions depending on the form of an arbitrary function.
Camacho Moreno, José Carlos +3 more
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Abstract and Applied Analysis, 2014 The traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic ...
Lijun Zhang, C. M. Khalique
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Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
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The Traveling Wave Solutions to a Variant of the Boussinesq Equation
Electronic Journal of Applied Mathematics, 2023 In this study, we study a variant of the Boussinesq equation called as \(B( n+1,\,1,\,n )\) equation, and construct some traveling wave solutions by using an effective approach called the extended trial equation method. Thus, the soliton solutions, rational function solutions, elliptic function solutions and Jacobi elliptic function solutions, which ...
Nadeem, Muhammad +1 more
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Journal of Ocean Engineering and Science, 2018 In the present paper, the exp(−ϕ(ξ)) expansion method is applied to the fractional Broer–Kaup and approximate long water wave equations. The explicit approximate traveling wave solutions are obtained by using this method. Here, fractional derivatives are
H. Çerdik Yaslan
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Traveling wave solutions of compressible fluid equations and orbital stability
AIP Advances, 2015 In this paper, we discuss the existence of traveling wave solutions for compressible fluid equations by applying the theory and method of planar dynamical system, and obtain explicit expressions for all bounded traveling wave solutions by undetermined ...
Xiang Li, Weiguo Zhang, Zhengming Li
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Dynamics of a predator–prey system with three species
Boundary Value Problems, 2018 This paper is concerned with the dynamics of a predator–prey system with three species. When the domain is bounded, the global stability of positive steady state is established by contracting rectangles.
Zhifang Bi, Shuxia Pan
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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
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