Add to ORKGA recent procedure based on truncated Painleve expansions is used to derive Lax Pairs, Darboux transformations, and various soliton solutions for integrable (2+1) generalizations of NLS type equations. In particular, diverse classes of solutions are found analogous to the dromion, instanton, lump, and ring soliton solutions derived recently for (2+1) Korteweg-de Vries type equations, the Nizhnik-Novikov-Veselov equation, and the (2+1) Broer-Kaup system. (C) 2003 American Institute of Physics
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV eq...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
A recent procedure based on truncated Painlevé expansions is used to derive Lax Pairs, Darboux trans...
Solution generating techniques for 2+I-dimensional nonlinear integrable systems given by the integra...
In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpres...
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, w...
The integrable (2+1) dimensional generalization of the non-linear Schrodinger (NLS) equation discuss...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
The extension of Painleve ́ equations to noncommutative spaces has been considering ex-tensively in ...
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation introduced recently by Fokas is inv...
We present a technique based on extended Lax Pairs to derive variable-coefficient generalizations of...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV eq...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
A recent procedure based on truncated Painlevé expansions is used to derive Lax Pairs, Darboux trans...
Solution generating techniques for 2+I-dimensional nonlinear integrable systems given by the integra...
In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpres...
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, w...
The integrable (2+1) dimensional generalization of the non-linear Schrodinger (NLS) equation discuss...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
The extension of Painleve ́ equations to noncommutative spaces has been considering ex-tensively in ...
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation introduced recently by Fokas is inv...
We present a technique based on extended Lax Pairs to derive variable-coefficient generalizations of...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV eq...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...