Results 21 to 30 of about 136,660 (285)
Travelling Wave Solutions of the Schrödinger‐Boussinesq System [PDF]
Abstract and Applied Analysis, 2012 We establish exact solutions for the Schrödinger‐Boussinesq System iut + uxx − auv = 0, , where a and b are real constants. The (G′/G)‐expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)‐expansion method provides not only more general forms of solutions but also ...
Kılıcman, Adem, Abazari, Reza
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Results in Physics, 2016 In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method.
M. Arshad +3 more
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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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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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The Bifurcations of Traveling Wave Solutions of the Kundu Equation
Journal of Applied Mathematics, 2013 We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained.
Yating Yi, Zhengrong Liu
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Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities [PDF]
Zeitschrift für Naturforschung A, 2018 Abstract We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the ...
Stefan C. Mancas +2 more
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Regular and Singular Pulse and Front Solutions and Possible Isochronous Behavior in the Short-Pulse Equation: Phase-Plane, Multi-Infinite Series and Variational Approaches [PDF]
, 2014 In this paper we employ three recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a family of so-called short-pulse equations (SPE).
Choudhury, A. Ghose +4 more
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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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QCD traveling waves at non-asymptotic energies [PDF]
, 2005 Using consistent truncations of the BFKL kernel, we derive analytical traveling-wave solutions of the Balitsky-Kovchegov saturation equation for both fixed and running coupling.
Balitsky +33 more
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