Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-06-05
PHYSICA D-NONLINEAR PHENOMENA 238, 1432 (2009)
Nonlinear Sciences
Pattern Formation and Solitons
18 pages; submitted to Physica D
Scientific paper
10.1016/j.physd.2008.12.007
We develop a complete mathematical theory for the symmetrical solutions of the generalized nonlinear Schr\"odinger equation based on the new concept of angular pseudomomentum. We consider the symmetric solitons of a generalized nonlinear Schr\"odinger equation with a nonlinearity depending on the modulus of the field. We provide a rigorous proof of a set of mathematical results justifying that these solitons can be classified according to the irreducible representations of a discrete group. Then we extend this theory to non-stationary solutions and study the relationship between angular momentum and pseudomomentum. We illustrate these theoretical results with numerical examples. Finally, we explore the possibilities of the generalization of the previous framework to the quantum limit.
Carr Lincoln D.
Ferrando Albert
García-March Miguel-Ángel
Vijande Javier
Zacarés Mario
No associations
LandOfFree
Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-127994