Group method solutions of the generalized forms of Burgers, Burgers–KdV and KdV equations with time-dependent variable coefficients

Faculty Engineering Year: 2011
Type of Publication: ZU Hosted Pages:
Authors:
Medhat Mostafa Mostafa Helal
Journal: Acta Mechanica Springer-Verlag Volume:
Keywords : Group method solutions , , generalized forms , Burgers,    
Abstract:
Solutions for the generalized forms of Burgers, Burgers–KdV, and KdV equations with time-dependent variable coefficients and with initial and boundary conditions are constructed. The analysis rests mainly on the standard group method. Similarity solutions are found which reduce the nonlinear system of partial differential equations to systems of ordinary differential equations to obtain some exact solutions and others as numerical solutions.
    
     
 
       

Author Related Publications

  • Medhat Mostafa Mostafa Helal, "Mathematical modelling for solving nonlinear heat diffusion problems of pavement spherical roads in Makkah", Taylor & Francis, 2012 More
  • Medhat Mostafa Mostafa Helal, "Application of a fractional steps method for the numerical solution of the two-dimensional modeling of the Lake Mariut", Elsevier, 2009 More
  • Medhat Mostafa Mostafa Helal, "Application of a fractional step method for the numerical solution of the shallow water waves in a rotating rectangular basin", Taylor & Francis, 2010 More
  • Medhat Mostafa Mostafa Helal, "Similarity solutions for magneto-forced-unsteady free convective laminar boundary-layer flow", Elsevier B.V., 2008 More
  • Medhat Mostafa Mostafa Helal, "Generalization of the integral transform method to nonlinear heat-conduction problems in multilayered spherical media", King Saud University. Production and hosting by Elsevier B.V., 2012 More

Department Related Publications

  • Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014 More
  • Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014 More
  • Rasha Ibrahiem Saleh Mohamed, "Generalized extended method for solution of nonlinear diffusion equations", مجلة الهندسة والعلوم التطبيقية, 2014 More
  • Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996 More
  • Magda Mahmoud Mohamed Kasem, "Similarity Analysis of Mass and Heat Transfer of FHD Steady Flow of Nanofluid Incorporating Magnetite Nanoparticles (Fe3O4)", East African Scholars Publisher, Kenya, 2020 More
Tweet