In this paper, we report a novel way of constructing a new class of localized coherent structures for the (2 + 1)-dimensional nonlinear Schrodinger (NLS) equation proposed by Zakharov by utilizing the freedom (arbitrary function) in the linearized version of the bilinear equation. The localized solutions for the potential are realized mainly by the interaction of the line soliton with a curved soliton. We call such solutions 'induced localized structures (induced dromions)' as the line soliton is induced by the arbitrary function present in the system
We study the existence and stability of localized states in the discrete nonlinear Schrödinger equat...
We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media bas...
Nonlinear evolution equations play enormous significant roles to work with complicated physical phen...
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation introduced recently by Fokas is inv...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
In this paper, we derive the generalized localized solutions of the (2+1) dimensional long dispersiv...
The integrable (2+1) dimensional generalization of the non-linear Schrodinger (NLS) equation discuss...
In this paper, we have identified a novel method of inducing localized solutions in the (2+1) dimens...
In this paper, we investigate the integrability aspects of the (2+1) dimensional coupled long disper...
In this work we apply point canonical transformations to solve some classes of nonautonomous, nonlin...
This article focuses on the exploration of novel soliton molecules for the (2+1)-dimensional Kortewe...
The existence of exponentially localized structures in a (2+1)-dimensional breaking soliton equation...
We consider the nonlinear excitation localized near the media interface with an internal structure. ...
Recently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are...
A non-isospectra (2 + 1)-dimensional integrable spin equation is investigated. It is shown that its ...
We study the existence and stability of localized states in the discrete nonlinear Schrödinger equat...
We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media bas...
Nonlinear evolution equations play enormous significant roles to work with complicated physical phen...
A generalized (2 + 1)-dimensional nonlinear Schrodinger equation introduced recently by Fokas is inv...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
In this paper, we derive the generalized localized solutions of the (2+1) dimensional long dispersiv...
The integrable (2+1) dimensional generalization of the non-linear Schrodinger (NLS) equation discuss...
In this paper, we have identified a novel method of inducing localized solutions in the (2+1) dimens...
In this paper, we investigate the integrability aspects of the (2+1) dimensional coupled long disper...
In this work we apply point canonical transformations to solve some classes of nonautonomous, nonlin...
This article focuses on the exploration of novel soliton molecules for the (2+1)-dimensional Kortewe...
The existence of exponentially localized structures in a (2+1)-dimensional breaking soliton equation...
We consider the nonlinear excitation localized near the media interface with an internal structure. ...
Recently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are...
A non-isospectra (2 + 1)-dimensional integrable spin equation is investigated. It is shown that its ...
We study the existence and stability of localized states in the discrete nonlinear Schrödinger equat...
We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media bas...
Nonlinear evolution equations play enormous significant roles to work with complicated physical phen...