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Backlund and Darboux Transformations
Colin Rogers,Wolfgang K. Schief +1 more
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The article was published on 2002-06-01 and is currently open access. It has received 171 citations till now.read more
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Variational iteration method for solving Burger's and coupled Burger's equations
M.A. Abdou,A.A. Soliman +1 more
TL;DR: In this article, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials, and the solutions of Burger's equation and coupled Burger's equations are exactly obtained.
MonographDOI
Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons
TL;DR: The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century.
Journal ArticleDOI
New applications of variational iteration method
M.A. Abdou,A.A. Soliman +1 more
TL;DR: In this article, He's variational iteration method is used for solving three types of nonlinear partial differential equations such as coupled Schrodinger-KdV, generalized KdV and shallow water equations.
Journal ArticleDOI
A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations
TL;DR: By means of variational iteration method the solution of the Korteweg-de Vries Burgers and a Lax's seventh-order KdV (for short, LsKdV) equations are exactly obtained and in compared with that found by means of Adomian decomposition method as discussed by the authors.
Journal ArticleDOI
Painlevé equations: nonlinear special functions
TL;DR: In this paper, the authors discuss some of the remarkable properties which the Painleve equations possess including connection formulae, Backlund transformations associated discrete equations, and hierarchies of exact solutions.