4.7 Article

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

Journal

NONLINEAR DYNAMICS
Volume 70, Issue 3, Pages 2259-2267

Publisher

SPRINGER
DOI: 10.1007/s11071-012-0616-7

Keywords

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

Funding

  1. National Natural Science Foundation of China [10772110]
  2. Natural Science Foundation of Zhejiang Province [Y606049]
  3. Applied Nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province

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We derive two types of exact analytical solutions in terms of rational-like functions for a generalized nonlinear Schrodinger 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.

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