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:
Khaled Lotfy Mohamed Azab
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

  • Hany Samih Bayoumi Ibrahim, "Passive and active controllers for suppressing the torsional vibration of multiple-degree-of-freedom system", Sage, 2014 More
  • Ahmed Mohamed Khedr Souliman, "SEP-CS: Effective Routing Protocol for Heterogeneous Wireless Sensor Networks", Ad Hoc & Sensor Wireless Networks, 2012 More
  • Ahmed Mohamed Khedr Souliman, "Minimum connected cover of a query region in heterogeneous wireless sensor networks", Information Sciences, 2013 More
  • Ahmed Mohamed Khedr Souliman, "IBLEACH: intra-balanced LEACH protocol for wireless sensor networks", Wireless Netw, 2014 More
  • Ahmed Mohamed Khedr Souliman, "AGENTS FOR INTEGRATING DISTRIBUTED DATA FOR FUNCTION COMPUTATIONS", Computing and Informatics,, 2012 More
Tweet