Add to ORKGA brief review of the Painlevé singularity structure analysis of some autonomous and nonautonomous nonlinear partial differential equations is discussed. We point out how the Painlevé analysis of solutions of these equations systematically provides the integrability properties of the equation. The Lax pair, Bäcklund transformation and bilinear forms are constructed from the analysis
In recent investigations on nonlinear dynamics, the singularity structure analysis pioneered by Kova...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
In this paper, a singularity structure analysis of some important inhomogeneous nonlinear evolution ...
Nonlinear partial differential equations play a fundamental role in the description of many physical...
Nonlinear partial differential equations play a fundamental role in the description of many physical...
Nonlinear partial differential equations play a fundamental role in the description of many physical...
This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans U...
Abstract. We present a brief overview of integrability of nonlinear ordinary and partial differentia...
We apply the Painlevé singularity structure analysis to the nonlinear coupled Klein-Gordon equations...
We apply the Painlevé singularity structure analysis to the nonlinear coupled Klein-Gordon equations...
The Painleve analysis plays an important role in investigating local structure of the solutions of d...
Bäcklund transformations between all known completely integrable third-order differential equations ...
Singularity analysis plays a critical role in detecting both differential and discrete integrable sy...
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
In recent investigations on nonlinear dynamics, the singularity structure analysis pioneered by Kova...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
In this paper, a singularity structure analysis of some important inhomogeneous nonlinear evolution ...
Nonlinear partial differential equations play a fundamental role in the description of many physical...
Nonlinear partial differential equations play a fundamental role in the description of many physical...
Nonlinear partial differential equations play a fundamental role in the description of many physical...
This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans U...
Abstract. We present a brief overview of integrability of nonlinear ordinary and partial differentia...
We apply the Painlevé singularity structure analysis to the nonlinear coupled Klein-Gordon equations...
We apply the Painlevé singularity structure analysis to the nonlinear coupled Klein-Gordon equations...
The Painleve analysis plays an important role in investigating local structure of the solutions of d...
Bäcklund transformations between all known completely integrable third-order differential equations ...
Singularity analysis plays a critical role in detecting both differential and discrete integrable sy...
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
In recent investigations on nonlinear dynamics, the singularity structure analysis pioneered by Kova...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...
We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply...