A recent procedure based on truncated Painlevé 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. © 2003 American Institute of Physics
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
A recent procedure based on truncated Painleve 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...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
The integrable (2+1) dimensional generalization of the non-linear Schrodinger (NLS) equation discuss...
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg...
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, w...
We present a technique based on extended Lax Pairs to derive variable-coefficient generalizations of...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
We present a technique based on extended Lax Pairs to derive variable-coefficient generalizations of...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
A recent procedure based on truncated Painleve 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...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
In the first part of this dissertation we introduce two matrix iso-spectral problems, a Kaup-Newell ...
The integrable (2+1) dimensional generalization of the non-linear Schrodinger (NLS) equation discuss...
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg...
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, w...
We present a technique based on extended Lax Pairs to derive variable-coefficient generalizations of...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
We present a technique based on extended Lax Pairs to derive variable-coefficient generalizations of...
This book is devoted to a classical topic that has undergone rapid and fruitful development over the...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...
The Darboux-dressing transformations are applied to the Lax pair associated with systems of coupled ...