Results 31 to 40 of about 4,035,517 (274)
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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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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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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Contact analysis and mathematical modeling of traveling wave ultrasonic motors [PDF]
, 2004 An analysis of the contact layer and a mathematical modeling of traveling wave ultrasonic motors (TWUM) are presented for the guidance of the design of contact layer and the analyses of the influence of the compressive force and contact layer on motor ...
Zhu, Meiling
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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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Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations [PDF]
, 2010 The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
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Existence of Traveling Wave Solutions for Cholera Model [PDF]
Abstract and Applied Analysis, 2014 To investigate the spreading speed of cholera, Codeço’s cholera model (2001) is developed by a reaction-diffusion model that incorporates both indirect environment-to-human and direct human-to-human transmissions and the pathogen diffusion. The two transmission incidences are supposed to be saturated with infective density and pathogen density.
Zhang, Tianran +2 more
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Symmetry‐Guided Multifunctional Acoustic System Based on Mechanically Actuated Sonic Crystals
Advanced Engineering Materials, EarlyView.This study presents the design, simulation, and experimental validation of amultifunctional acoustic metamaterial based on rotationally engineered sonic crystals.By tuning cylinder orientations, controllable band gaps and six distinct functionalities—including switching, topological insulation, beam splitting, and logic operations—areachieved ...
Yuanyan Zhao +2 more
wiley +1 more source