The Extended Trial Equation Method for Some Time Fractional Differential Equations [PDF]
Discrete Dynamics in Nature and Society, 2013 Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir +2 more
doaj +6 more sources
Extraction of optical solitons in birefringent fibers for Biswas-Arshed equation via extended trial equation method [PDF]
Nonlinear Engineering, 2021 This article obtains optical solitons to the Biswas-Arshed equation for birefringent fibers with higher order dispersions and in the absence of four-wave mixing terms, in a media with Kerr type nonlinearity.
Tahir Muhammad +2 more
doaj +4 more sources
Extended trial equation method to generalized nonlinear partial differential equations
Applied Mathematics and Computation, 2013 In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact traveling wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general ...
Yusuf Gurefe +3 more
exaly +8 more sources
Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method [PDF]
Optik, 2017 Abstract This paper obtains bright, dark and singular soliton solutions from perturbed Schrodinger–Hirota equation that governs the propagation of dispersive pulses through optical fibers. The trial equation method is adopted to achieve this goal. Both Kerr and power laws of nonlinearity are covered.
Mehmet Ekici +8 more
exaly +4 more sources
Extended trial equation method for nonlinear coupled Schrodinger Boussinesq partial differential equations [PDF]
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled Gepreel
exaly +5 more sources
Open Physics, 2018 In this paper the nonlinear long-short (LS) wave resonance model is analyzed through a new perspective. We obtain the classification of exact solutions by making use of the complete discrimination system for the trial equation method and through the ...
Cimpoiasu Rodica, Pauna Alina Streche
doaj +4 more sources
Optical solitons in birefringent fibers by extended trial equation method [PDF]
Optik, 2016 Abstract This paper studies solitons in optical fibers by the aid of extended trial function method. This powerful mathematical tool is applied to birefringent fibers with Kerr and parabolic laws of nonlinearity. Bright and singular soliton solutions are obtained along with respective constraints that must hold to guarantee the existence of these ...
Mohammad Mirzazadeh +7 more
exaly +4 more sources
Mathematical analysis of the Generalized Benjamin and Burger-Kdv Equations via the Extended Trial Equation Method [PDF]
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2014 AbstractIn this paper, using the Extended Trial Equation (ETEM), we get new traveling wave solutions of the Generalized Benjamin, the Generalized Burger-Kdv Equations (GBE, GBKE). The obtained solutions not only constitute a novel analytical viewpoint in nonlinear complex phenomena, but they also form a new stand alone basis from which physical ...
Belgacem, Fethi Bin Muhammad +3 more
openaire +3 more sources
Research on IMU-LiDAR collaborative positioning method for unmanned mine truck under weak GNSS conditions [PDF]
Scientific ReportsTo address the critical technical challenge of positioning failure in unmanned mining trucks induced by global navigation satellite system (GNSS) signal attenuation in complex open-pit coal mine environments, particularly the significant trajectory ...
Guilin Hu +6 more
doaj +2 more sources
The effect of e-satisfaction and trust on online repurchase intention through the mediation of ease of use and moderation of customers' online experience [PDF]
ارزش آفرینی در مدیریت کسب و کار, 2023 The aim of the research is to the effect of electronic satisfaction and trust on the intention to repurchase online by mediating the ease of use and moderating the online experience of customers in the digital store.
Alireza Rousta +2 more
doaj +1 more source