@inproceedings{32bea53f166549d380455e3a1ad3a066,
title = "Spatial disorder of soliton solutions for 2D nonlinear Schr{\"o}dinger lattices",
abstract = "In this paper, we employ the construction of topological horseshoes to study the pattern of the soliton solutions to the discrete nonlinear Schr{\"o}dinger (DNLS) equations in a twodimensional lattice. The spatial disorder of the DNLS equations is the result of the strong amplitudes and stiffness of the nonlinearities. The complexity of this disorder is determined by the oscillations (number of turning points) of the nonlinearities. Nonnegative soliton solutions of the DNLS equations with a cubic nonlinearity is also discussed.",
keywords = "Discrete nonlinear Schr{\"o}dinger equation, Horseshoe, Soliton solution, Spatial disorder",
author = "Shieh, {Shih Feng}",
year = "2011",
language = "English",
isbn = "9789881821065",
series = "Proceedings of the World Congress on Engineering 2011, WCE 2011",
pages = "7--12",
booktitle = "Proceedings of the World Congress on Engineering 2011, WCE 2011",
note = "World Congress on Engineering 2011, WCE 2011 ; Conference date: 06-07-2011 Through 08-07-2011",
}