Results 51 to 60 of about 3,508 (166)
Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
The Scientific World Journal, 2014 An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method.
A. R. Seadawy, K. El-Rashidy
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Ain Shams Engineering Journal, 2015 The modeling of wave propagation in microstructured materials should be able to account for various scales of microstructure. Based on the proposed new exponential expansion method, we obtained the multiple explicit and exact traveling wave solutions of ...
M.G. Hafez, M.A. Akbar
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Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models
Abstract and Applied Analysis, 2014 The paper considers the nonlocal hydrodynamic-type systems which are two-dimensional travelling wave systems with a five-parameter group. We apply the method of dynamical systems to investigate the bifurcations of phase portraits depending on the ...
Jianping Shi, Jibin Li
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Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation
International Journal of Differential Equations, 2011 We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the K(3,2) equation. For the focusing branch, we obtain hump-shaped and
Jiangbo Zhou, Lixin Tian
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Solitary wave solutions of coupled boussinesq equation
Complexity, 2016 This article presents the general case‐study of our previous works regarding generalized Boussinesq equations [17, 18, 19], that focus on application of various subordinate methods where are applied to construct more general exact solutions of the coupled Boussinesq equations.
Reza Abazari +2 more
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Solitary Wave Solutions for Zoomeron Equation
Walailak Journal of Science and Technology, 2012 Tanh-Coth Method is applied to find solitary wave solutions of the Zoomeron equation which is of extreme importance in mathematical physics. The proposed scheme is fully compatible with the complexity of the problem and is highly efficient. Moreover, suggested combination is capable to handle nonlinear problems of versatile physical nature.
Amna IRSHAD, Syed Tauseef MOHYUD-DIN
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Solitary wave solutions of the Vakhnenko–Parkes equation
Nonlinear Analysis, 2012 In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained.
Fayequa Majid +4 more
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MathematicsThis study deals with a stochastic reaction–diffusion biofilm model under quorum sensing. Quorum sensing is a process of communication between cells that permits bacterial communication about cell density and alterations in gene expression.
Muhammad Zafarullah Baber +6 more
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Open Physics, 2018 In this research work, for the first time we introduced and described the new method, which is modified extended auxiliary equation mapping method.
Lu Dianchen +2 more
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Fractal and FractionalThe dynamical behavior of the double-chain deoxyribonucleic acid (DNA) system holds significant implications for advancing the understanding of DNA transmission laws in the realms of biology and medicine. This study delves into the investigation of chaos
Tianyong Han +3 more
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