Novel Excitations of the Nonlinear Schr¨odinger Equation by Separation of Variables

b State Key Laboratory of Software Development Environment, Beijing, University of Aeronautics and Astronautics, Beijing 100191, China.. c Key Laboratory of Information Photonics

Evolution and interaction of the solitons are plotted, and the self-induced transparency effect caused by the doped erbium atoms is found to lead to the change of the soliton

In this paper, with the aid of symbolic computation the bright soliton solutions of two variable- coefficient coupled nonlinear Schr¨odinger equations are obtained by Hirota’s

For completely integrable evolution equations, three powerful methods, namely the inverse scattering method, the B¨acklund transformation method, and the Hirota bilinear method [10

Starting from a projective equation and a linear variable separation approach, some solitary wave solutions with arbitrary functions for the (2+1)-dimensional breaking soliton

Therefore, similar to the ways in previous lit- erature like [15], starting with the results (25) and (26), the (2+1)-dimensional NLS equation admits various localized excitations

c KeyLaboratoryof Optical Communication and Lightwave Technologies, Ministryof Education, Beijing Universityof Posts and Telecommunications, Beijing 100876, China.. Reprint requests

In addition, the nature of our self-similar asymptotic wave hints to the possibility of designing optical amplifier and focusing of spatial waves to overcome inevitable energy