Constructions of solitary travelling wave solutions for Ito integro-differential equation arising in plasma physics

Faculty Science Year: 2020
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Results in Physics ُEl sevier Volume:
Keywords : Constructions , solitary travelling wave solutions , , integro-differential    
Abstract:
Constructing exact and numerical solutions of partial differential equations (PDEs) has become an active area in recent years. This work focuses on developing new exact and numerical solutions for - dimensional Ito integro-differential equation by applying -expansion and finite difference methods, respectively. Trigonometric, hyperbolic and rational solutions are successfully presented. The stability and accuracy of the obtained numerical simulation are discussed. The presented graphical comparison shows that the exact and numerical solutions nearly coincide with each other. error which illustrates the effectiveness of the used numerical approach is comprehensively studied. The applied methods can be effectively invoked to solve more nonlinear PDEs.
   
     
 
       

Author Related Publications

  • Khaled Lotfy Mohamed Azab, "Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium", © 2019 Informa UK Limited, trading as Taylor & Francis Group, 2019 More
  • Khaled Lotfy Mohamed Azab, "Thermal Ramp Type of Photo-Thermal Excitation in Hall Current and Variable Thermal Conductivity of Semiconductor Elastic Material", # Springer Nature B.V. 2020, 2020 More
  • Khaled Lotfy Mohamed Azab, "Normal Mode Method for Two-Temperature Generalized Thermoelasticity under Thermal Shock Problem", Taylor & Francis, 2014 More
  • Khaled Lotfy Mohamed Azab, "The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories,", Chinese, 2014 More
  • Khaled Lotfy Mohamed Azab, "Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem,", Chinese, 2014 More

Department Related Publications

  • Rodyna Ahmed Mahmoud, "Pre-Open Sets with Ideal", Scientific Research Platform (SRP), 2013 More
  • Rodyna Ahmed Mahmoud, "ON BCL-ALGEBRA", Council for Innovative Research, 2013 More
  • Yasser AbdelAziz Amer Tolba, "The improved (G’/G) - expansion method for constructing exact traveling wave solutions for a nonlinear PDE of nanobiosciences", USA, 2013 More
  • Alaa Hassan Attia Hassan, "A Unified Representation of Some Starlike and Convex Harmonic Functions with Negative Coefficients", AGH University of Science and Technology Press, Krakow 2013, Poland, 2013 More
  • Alaa Hassan Attia Hassan, "Generalizations of Hadamard Procuct of Certain Meromorphic Multivalent Functions with Positive Coefficients", Istanbul Universitesi, Turkey, 2013 More
Tweet