Ghodrat Ebadi

ORCID: 0000-0002-0214-9314
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About
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Research Areas
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Matrix Theory and Algorithms
  • Numerical methods for differential equations
  • Fractional Differential Equations Solutions
  • Advanced Optimization Algorithms Research
  • Algebraic structures and combinatorial models
  • Iterative Methods for Nonlinear Equations
  • Differential Equations and Numerical Methods
  • Advanced Mathematical Physics Problems
  • Electromagnetic Scattering and Analysis
  • Algebraic and Geometric Analysis
  • Advanced Numerical Methods in Computational Mathematics
  • Quantum Mechanics and Non-Hermitian Physics
  • Mathematics and Applications
  • Seismic Imaging and Inversion Techniques
  • Advanced Fiber Laser Technologies
  • Dust and Plasma Wave Phenomena
  • Gas Dynamics and Kinetic Theory
  • Nonlinear Dynamics and Pattern Formation
  • Fluid Dynamics and Turbulent Flows
  • Computational Fluid Dynamics and Aerodynamics
  • Numerical methods in engineering
  • Advanced Topics in Algebra
  • Photonic Crystal and Fiber Optics

University of Tabriz
2007-2024

10.1016/j.cnsns.2010.09.009 article EN Communications in Nonlinear Science and Numerical Simulation 2010-09-18

10.1016/j.mcm.2010.10.005 article EN Mathematical and Computer Modelling 2010-10-14

This paper studies the Davey–Stewartson equation. The traveling wave solution of this equation is obtained for case power-law nonlinearity. Subsequently, solved by exponential function method. mapping method then used to retrieve more solutions Finally, studied with aid variational iteration numerical simulations are also given complete analysis.

10.1080/17455030.2011.606853 article EN Waves in Random and Complex Media 2011-08-18

This paper obtains the soliton solutions of Gilson–Pickering equation. The G′/G method will be used to carry out this equation and then solitary wave ansatz obtain a 1-soliton solution Finally, invariance multiplier approach applied recover few conserved quantities

10.1080/17455030.2011.569036 article EN Waves in Random and Complex Media 2011-03-28

This paper obtains solitons and other solutions to the perturbed RosenauKdVRLW equation that is used model dispersive shallow water waves.This taken with power law nonlinearity in this paper.There are several integration tools adopted solve equation.These Kudryashov method, sine-cosine function G /G-expansion scheme nally exp-function approach.Solitons obtained along constraint conditions naturally emerge from structure of these solutions.

10.12693/aphyspola.127.1577 article EN cc-by Acta Physica Polonica A 2015-06-01

This paper studies the (2 + 1)-dimensional Camassa–Holm Kadomtsev–Petviashvili equation. There are a few methods that will be utilized to carry out integration of this Those G'/G method as well exponential function method. Subsequently, ansatz applied obtain topological soliton solution The constraint conditions, for existence solitons, also fall these.

10.15388/na.17.3.14056 article EN cc-by Nonlinear Analysis Modelling and Control 2012-10-25

This paper studies the Boussinesq equation in presence of a couple perturbation terms. The traveling wave hypothesis is used to extract soliton solution. Subsequently, other nonlinear solutions are also obtained by aid exponential function and G′G methods. constraint relations indicated for existence these solutions.

10.1016/j.jksus.2011.05.001 article EN cc-by-nc-nd Journal of King Saud University - Science 2011-05-21

Purpose – The purpose of this paper is to discuss the integrability studies long-short wave equation that studied in context shallow water waves. There are several integration tools applied obtain soliton and other solutions equation. techniques traveling waves, exp-function method, G′ / G -expansion method others. Design/methodology/approach design structured with an introduction model. First hypothesis approach leads waves permanent form. This eventually formulation approaches conforms...

10.1108/hff-07-2013-0233 article EN International Journal of Numerical Methods for Heat &amp Fluid Flow 2015-01-05

This paper studies the D(m,n) equation, which is generalized version of Drinfeld–Sokolov equation. The traveling wave hypothesis and exp-function method are applied to integrate this mapping Weierstrass elliptic function also display an additional set solutions. kink, soliton, shock waves, singular soliton solution, cnoidal snoidal solutions all obtained by these varieties integration tools.

10.1007/s40065-012-0056-8 article EN cc-by Arabian Journal of Mathematics 2012-11-07
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