Nonlinear Dynamics

, Volume 70, Issue 3, pp 2259–2267 | Cite as

Evolution of optical solitary waves in a generalized nonlinear Schrödinger equation with variable coefficients

Original Paper


We derive two types of exact analytical solutions in terms of rational-like functions for a generalized nonlinear Schrödinger equation with variable coefficients via the methods of similarity transformation and direct ansatz. Based on these solutions, several novel optical solitary waves are constructed by selecting appropriate functions, and the main evolution features of these waves are shown by some interesting figures with computer simulation.


Nonlinear Schrödinger equation Variable coefficients Similarity transformation Rational-like solutions Optical solitary waves 



This work is supported by the National Natural Science Foundation of China (Grant No. 10772110), the Natural Science Foundation of Zhejiang Province (Grant No. Y606049), and the Applied Nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province.


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Copyright information

© Springer Science+Business Media Dordrecht 2012

Authors and Affiliations

  1. 1.College of Computer and Information EngineeringZhejiang Lishui UniversityLishuiChina
  2. 2.College of Mathematics and PhysicsZhejiang Lishui UniversityLishuiChina
  3. 3.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiChina

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