The Bifurcations and Exact Traveling Wave Solutions for a Nonlocal Hydrodynamic-Type System
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-020-09509-y
Abstract: A hydrodynamic-type system taking into account nonlocal effects is investigated. The exact traveling wave solutions including smooth solitary waves solutions, pseudo-peakons, periodic peakons, compactons, kink, and anti-kink wave solutions and so on are derived via… read more here.
Keywords: wave solutions; type system; exact traveling; hydrodynamic type ... See more keywords
A Unified Analysis of Exact Traveling Wave Solutions for the Fractional-Order and Integer-Order Biswas–Milovic Equation: Via Bifurcation Theory of Dynamical System
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00352-x
Abstract: This paper presents a unified method to investigate exact traveling wave solutions of the nonlinear fractional-order and integer-order partial differential equations. We use the conformable fractional derivatives. The method is based on the bifurcation theory… read more here.
Keywords: order; wave solutions; fractional order; exact traveling ... See more keywords
Some Exact Traveling Wave Solutions of MHD Maxwell Fluid in Porous Medium
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DOI: 10.1007/s40819-020-00815-4
Abstract: The exact solutions of unsteady MHD viscoelastic fluid (Maxwell) of three-dimensional flow in a porous medium is calculated by the traveling wave method. The governing equations can be reduced into ordinary differential equations by wave… read more here.
Keywords: wave solutions; solutions mhd; exact traveling; porous medium ... See more keywords
New exact traveling wave solutions of the unstable nonlinear Schrödinger equations and their applications
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DOI: 10.1016/j.ijleo.2020.165386
Abstract: Abstract The unstable nonlinear Schrodinger dynamical models reveal the temporal evolution of disturbances in the media of unstable or marginally stable. In this paper, we executed the proposed modified exponential rational functionmethod (MERFM), the wave… read more here.
Keywords: wave solutions; exact traveling; unstable nonlinear; new exact ... See more keywords
Exact traveling wave solutions for nonlinear elastic rod equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.08.010
Abstract: Abstract An analytical study on a nonlinear elastic rod equation is conducted in this paper. The modified Kudryashov method, the (G′/G)-expansion method, and the Exp-function method are employed to extract exact solutions for the equation.… read more here.
Keywords: rod equation; exact traveling; traveling wave; wave solutions ... See more keywords
Dynamics and Exact Traveling Wave Solutions of the Sharma-Tasso-Olver-Burgers Equation
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DOI: 10.3390/sym14071468
Abstract: In this paper, to study the Sharma–Tasso–Olver–Burgers equation, we focus on the geometric properties and the exact traveling wave solutions. The corresponding traveling system is a cubic oscillator with damping, and it has time-dependent and… read more here.
Keywords: wave solutions; sharma tasso; exact traveling; burgers equation ... See more keywords
Exact Traveling Wave Solutions in a Generalized Harry Dym Type Equation
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DOI: 10.3390/sym14071480
Abstract: The traveling wave solutions of a generalized HD type equation are investigated in this study. The traveling wave system is a singular system of the first class with given parameter conditions. From the standpoint of… read more here.
Keywords: exact traveling; wave solutions; solutions generalized; type equation ... See more keywords