Soliton Solutions of the Complex Ginzburg-Landau Equation

Authors

  • Faisal Salah Yousif Rasheed
  • Zainal Abdul Aziz

DOI:

https://doi.org/10.11113/matematika.v25.n.258

Abstract

The function transformed method is applied to an n-dimensional complex Ginzburg-Landau equation (CGLE), which is being transformed to physically significant well known nonlinear waves equations depending only on the function, and these equations can be exactly solved. The solution of these equations in is shown to lead to a general soliton solution of the CGLE. Keywords: Complex Ginzburg-Landau equation; nonlinear waves equation; soliton solution; function transformed method.

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Published

01-06-2009

Issue

Volume 25 (June 2009)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Soliton Solutions of the Complex Ginzburg-Landau Equation. (2009). MATEMATIKA, 25, 39-51. https://doi.org/10.11113/matematika.v25.n.258