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Wu D.-Y.,Inner Mongolia University | Chen A.,Hohhot University for Nationalities
Chinese Physics B | Year: 2015

In this paper, the ascent of 2× 2 infinite dimensional Hamiltonian operators and a class of 4× 4 infinite dimensional Hamiltonian operators are studied, and the conditions under which the ascent of 2× 2 infinite dimensional Hamiltonian operator is 1 and the ascent of a class of 4× 4 infinite dimensional Hamiltonian operators that arises in study of elasticity is 2 are obtained. Concrete examples are given to illustrate the effectiveness of criterions. © 2015 Chinese Physical Society and IOP Publishing Ltd. Source


Wang G.,Beijing Institute of Technology | Kara A.H.,University of British Columbia | Kara A.H.,University of Witwatersrand | Buhe E.,University of British Columbia | And 2 more authors.
Romanian Journal of Physics | Year: 2015

We investigate a coupled system of partial differential equations (PDEs) describing the carbon nanotubes conveying fluid using the generalized symmetry analysis, the multiplier approach, and a new conservation theorem. The symmetries and the conservation laws of the coupled system of PDEs are given. © 2015, Editura Academiei Romane. All rights reserved. Source


Eerdunbuhe,Inner Mongolia University of Technology | Eerdunbuhe,Hohhot University for Nationalities | Temuerchaolu,Inner Mongolia University of Technology | Temuerchaolu,Shanghai Maritime University
Chinese Physics B | Year: 2012

The approximate solution of the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet is obtained by combining the Lie symmetry method with the homotopy perturbation method. The approximate solution is tabulated, plotted for the values of various parameters and compared with the known solutions. It is found that the approximate solution agrees very well with the known numerical solutions, showing the reliability and validity of the present work. © 2012 Chinese Physical Society and IOP Publishing Ltd. Source


Eerdun B.,Hohhot University for Nationalities | Eerdun B.,University of British Columbia | Eerdun Q.,Hohhot University for Nationalities | Huhe B.,Okayama University | And 2 more authors.
International Journal of Numerical Methods for Heat and Fluid Flow | Year: 2014

Purpose - The purpose of this paper is to consider a steady two-dimensional magneto-hydrodynamic (MHD) Falkner-Skan boundary layer flow of an incompressible viscous electrically fluid over a permeable wall in the presence of a magnetic field. Design/methodology/approach - The governing equations of MHD Falkner-Skan flow are transformed into an initial values problem of an ordinary differential equation using the Lie symmetry method which are then solved by He's variational iteration method with He's polynomials. Findings - The approximate solution is compared with the known solution using the diagonal Pad'e approximants and the geometrical behavior for the values of various parameters. The results reveal the reliability and validity of the present work, and this combinational method can be applied to other nonlinear boundary layer flow problems. Originality/value - In this paper, an approximate analytical solution of the MHD Falkner-Skan flow problem is obtained by combining the Lie symmetry method with the variational iteration method and He's polynomials. © Emerald Group Publishing Limited. Source


Buhe E.,Inner Mongolia University of Technology | Buhe E.,Hohhot University for Nationalities | Chaolu T.,Shanghai Maritime University | Pang J.,Hohhot University for Nationalities
Advanced Science Letters | Year: 2012

In this paper, the analytical solution of the magneto-hydrodynamic (MHD) flow over a nonlinear stretching sheet is obtained by He's variational iteration method and He's polynomials. The obtained results are compared through the diagonal Padé approximants and the geometrical behavior with the known solution. The comparisons reveal that the method is very effective and can be applied for other nonlinear boundary layer problems. © 2012 American Scientific Publishers All rights reserved. Source

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