modified traveling wave equations
Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... is an unknown function to be determined later. It is noteworthy to point out that some of our solutions are coincided with already published results, if parameters taken particular values which authenticate our ...
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Traveling Wave Solutions of Nonlinear Evolution Equations Via the Modified Simple Equation Method
... the modified simple equation method to construct fresh and more general exact traveling wave solutions to NLEEs namely Kuramoto- Sivashinsky equation with balance number equal to ...2, ...
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Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... auxiliary equations. A. Sousaraie [25] investigated traveling wave solutions for non- linear Klein-Gordon equation by using G / ′ G − expansion method with help of Auxiliary equation G ′′ + λ G ′ + µ ...
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Bifurcations and exact traveling wave solutions for a modified Degasperis–Procesi equation
... was discovered in [1], which is one of three integrable equations within a certain family of third-order nonlinear dispersive PDEs. It is a representative model for shallow water dy- namics, so many scholars have ...
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Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method
... In this work, an extended Jacobian elliptic function expansion method is proposed for construct- ing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by ...
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Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology
... exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Li- ouville equation and comparison between this two method and an- other method which have been solved ...
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Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
... The modified simple equation method has been applied in this paper to find the exact traveling wave solutions and then the solitary wave solutions of two nonlinear evolution equations, ...
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Modified F-Expansion Method Applied to Coupled System of Equation
... A modified F-expansion method to find the exact traveling wave solutions of two-component nonlinear partial differential equations (NLPDEs) is ...periodic wave solutions which exactly ...
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On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... and modified EW equations are constructed by using Sine-Gordon expansion ...fractional traveling wave transform and homogeneous balance have sig- nificant roles in the solution ...
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Study on Nonlinear Partial Differential Equation by Implementing MSE Method
... The modified simple equation method is effectively used to investigate exact traveling wave solutions of the nonlinear partial Klien-Gordon differential equations by means of hyperbolic and ...
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RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... the modified simple equation method [27]-[32] and so ...the modified simple equation method for finding the exact traveling wave solution of some nonlinear partial differential ...
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Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time dependent variable coefficients
... In this paper, we develop the nonlinear integrable couplings of Burgers equations with time-dependent variable coefficients. A new simplified bilinear method is used to obtain new multiple-kink solutions and ...
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Exact Solutions of Burgers Equation with Space Dependent Coefficients by the Extended Unified Method
... to other solutions that are given in terms of known elementary or special functions. Recently in [20] the class of these solutions was obtained by the generalized mapping method (GMM). This method generalizes the results ...
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Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
... In this paper, the homogeneous balance method has been applied to obtain the new exact solutions of the (3+1) Jimbo-Miwa equation. This method has the advantages of being direct and concise. The method proposed in this ...
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On Solution for the Longitudinal Electromagnetic Waves Derived from the Jefimenko Wave Equation and its Application to Wireless Power Transfer
... We do not make complete analyses of all possible conditions for longitudinal EM waves to exist, but limit ourselves to only one case. In other words, we analyze specific conditions when the source of the EM wave ...
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Travelling Waves for spatially discrete Systems of FitzHugh-Nagumo Type with periodic Coefficients
... of traveling wave solutions for a class of lattice differential equations (LDEs) that includes the discrete FitzHugh--Nagumo system with alternating scale-separated diffusion ...stable ...
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Dynamics of a predator–prey system with three species
... In population dynamics, predator–prey systems have been widely studied due to their importance as well as plentiful dynamical behaviors. When the system involves only one predator and one prey, there have been many ...
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Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation
... exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous balance me- thod [3], ( G ...
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Directional Protective Relaying Based on Amplitude Comparison of Traveling Wave on Continuous Co-phase AT Power Supply System by Using VMD
... In order to verify the correctness of the protection principle, a simulation model of the continuous co-phase traction AT power supply system is established by using PSCAD/EMTDC software, as shown in Figure 2 above. The ...
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Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics
... nonlinear wave phenomena observed in fluid dynamics, plasma and op- tical fibers are often modeled by the bell shaped sech solutions and the kink shaped tanh ...
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