Results 21 to 30 of about 171,037 (334)
Abstract and Applied Analysis, 2011 We focus on studying approximate solutions of damped oscillatory solutions of generalized KdV-Burgers equation and their error estimates. The theory of planar dynamical systems is employed to make qualitative analysis to the dynamical systems which ...
Weiguo Zhang, Xiang Li
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New Exact Traveling Wave Solutions for Fractional Order System Describing the Second Grade Fluid through Medium with Heat Transfer [PDF]
Journal of Applied and Computational Mechanics, 2021 The aim of this paper is to determine the time-dependent MHD fractionalized three-dimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. The governing nonlinear partial differential equations are altered by
Arsalan Ahmed +4 more
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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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Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation [PDF]
, 2012 We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ...
A.E. Eremenko +26 more
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Journal of Applied Mathematics, 2012 An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation.
Weiguo Rui, Yao Long
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Discrete Dynamics in Nature and Society, 2022 This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two ...
Tianyong Han, Jiajin Wen, Zhao Li
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Stationary Spacetime from Intersecting M-branes [PDF]
, 2005 We study a stationary "black" brane in M/superstring theory. Assuming BPS-type relations between the first-order derivatives of metric functions, we present general stationary black brane solutions with a traveling wave for the Einstein equations in $D ...
Argurio +56 more
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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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Open Physics, 2023 The main aim of this article is to focus on the dynamics and traveling wave solution of stochastic coupled Konno–Oono equation with multiplicative noise in the Stratonovich sense.
Tang Yong, Li Zhao
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Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method
Advances in Mathematical Physics, 2018 We employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation.
Yazhou Shi, Xiangpeng Li, Ben-gong Zhang
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