Breathers and solitons in nonlinear optical materials

Abstract

In this paper, breathers and solitons are obtained in nonlinear optical materials. Via Hirota’s bilinear method, the variable-coefficient nonlinear Schrödinger equation is studied analytically, and analytic solutions for this equations are derived. By properly choosing the parameters for the solutions, the features and characteristics are discussed. The presented results could be used in optics and materials science.

Keywords:

• breathers
• solitons
• nonlinear optical materials
• Hirota’s bilinear method

Notes

This work has been supported by the National Natural Science Foundation of China (NSFC) [grant number 61205064], [grant number 51272202], [grant number 61234006]; Fundamental Research Funds for the Central Universities of China [grant number 2012RC0706].