He’s variational iteration method for the modified equal width equation

Abstract Variational iteration method is introduced to solve the modified equal width equation. This method provides remarkable accuracy in comparison with the analytical solution. Three conservation quantities are reported. Numerical results demonstrate that this method is a promising and powerful tool for solving the modified equal width equation.

[1]  Ji-Huan He,et al.  Variational iteration method for delay differential equations , 1997 .

[2]  Ji-Huan He,et al.  Construction of solitary solution and compacton-like solution by variational iteration method , 2006 .

[3]  A. A. Soliman,et al.  New applications of variational iteration method , 2005 .

[4]  A. A. Soliman,et al.  Variational iteration method for solving Burger's and coupled Burger's equations , 2005 .

[5]  Abdulkadir Dogan,et al.  Application of Galerkin's method to equal width wave equation , 2005, Appl. Math. Comput..

[6]  Ji-Huan He.  Approximate solution of nonlinear differential equations with convolution product nonlinearities , 1998 .

[7]  S. Zaki,et al.  A least-squares finite element scheme for the EW equation , 2000 .

[8]  Peter J. Olver,et al.  Euler operators and conservation laws of the BBM equation , 1979, Mathematical Proceedings of the Cambridge Philosophical Society.

[9]  A. A. Soliman,et al.  A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations , 2006 .

[10]  L. Tian,et al.  Exact Hausdorff centered measure of symmetry Cantor sets , 2005 .

[11]  Bülent Saka,et al.  Algorithms for numerical solution of the modified equal width wave equation using collocation method , 2007, Math. Comput. Model..

[12]  S. I. Zaki.  Solitary waves induced by the boundary forced EW equation , 2001 .

[13]  G. Smith,et al.  Numerical Solution of Partial Differential Equations: Finite Difference Methods , 1978 .

[14]  Ji-Huan He.  SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[15]  S. Zaki.  Solitary wave interactions for the modified equal width equation , 2000 .

[16]  Ji-Huan He,et al.  Variational iteration method for autonomous ordinary differential systems , 2000, Appl. Math. Comput..

[17]  A. Wazwaz.  THE TANH AND THE SINE–COSINE METHODS FOR A RELIABLE TREATMENT OF THE MODIFIED EQUAL WIDTH EQUATION AND ITS VARIANTS , 2006 .

[18]  M. A. Abdou,et al.  The solution of nonlinear coagulation problem with mass loss , 2006 .

[19]  Shaher Momani,et al.  Application of He’s variational iteration method to Helmholtz equation , 2006 .

[20]  James D. Meiss,et al.  SCATTERING OF REGULARIZED-LONG-WAVE SOLITARY WAVES , 1984 .

[21]  K. R. Raslan,et al.  Collocation method using quartic B-spline for the equal width (EW) equation , 2005, Appl. Math. Comput..

[22]  Junfeng Lu,et al.  Variational iteration method for solving two-point boundary value problems , 2007 .

[23]  Ji-Huan He.  Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .