Add to ORKGThe Wahlquist-Estabrook prolongation technique and the Painleve analysis, used for testing the integrability of nonlinear evolution equations, are considered and applied both to the Drinfel'd-Sokolov system of equations, indeed known to be one of the coupled Korteweg-de Vries (KdV) systems, and Kersten-Krasil'shchik coupled KdV-mKdV equations. Some new Backlund transformations for the Drinfel'd-Sokolov system of equations are also found.Ph.D. - Doctoral Progra
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
This paper develops two approaches to Lax-integrable systems with spa-tiotemporally varying coeffici...
In this paper, a singularity structure analysis of some important inhomogeneous nonlinear evolution ...
This paper refines existing techniques into an algorithmic method for deriving the generalization of...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
This paper refines existing techniques into an algorithmic method for deriving the generalization of...
Bäcklund transformations, which are relations among solutions of partial differential equations–usu...
We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The c...
There has been considerable interest in the study on the variable-coefficient nonlinear evolution eq...
Il Dottorato di Ricerca (PhD) e` stato conseguito in CANADA, University of Waterloo, Waterloo, Ontar...
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2013In this dissertation the cons...
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg...
The Painleve test is employed to predict the integrability properties of the coupled dispersionless ...
Variable Coefficient Korteweg de Vries (vcKdV), modified Korteweg de Vries (vcMKdV), and nonlinear S...
This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans U...
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
This paper develops two approaches to Lax-integrable systems with spa-tiotemporally varying coeffici...
In this paper, a singularity structure analysis of some important inhomogeneous nonlinear evolution ...
This paper refines existing techniques into an algorithmic method for deriving the generalization of...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
This paper refines existing techniques into an algorithmic method for deriving the generalization of...
Bäcklund transformations, which are relations among solutions of partial differential equations–usu...
We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The c...
There has been considerable interest in the study on the variable-coefficient nonlinear evolution eq...
Il Dottorato di Ricerca (PhD) e` stato conseguito in CANADA, University of Waterloo, Waterloo, Ontar...
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2013In this dissertation the cons...
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg...
The Painleve test is employed to predict the integrability properties of the coupled dispersionless ...
Variable Coefficient Korteweg de Vries (vcKdV), modified Korteweg de Vries (vcMKdV), and nonlinear S...
This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans U...
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
This paper develops two approaches to Lax-integrable systems with spa-tiotemporally varying coeffici...
In this paper, a singularity structure analysis of some important inhomogeneous nonlinear evolution ...