Exact solutions of the slowly varying amplitudes of two interacting families for nonlinearly coupled Ginzburg-Landau equations

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Abstract

Exact solutions of nonlinearly coupled Ginzburg-Landau equations are studied. An algorithm for constructing solutions in an analytical way is presented, which involves eventually solving a set of algebraic equations. The ensuing system of equations is solved by means of computer algebra software which permits exact solutions to be obtained. A closed form representation of the solutions is presented and some examples of the numerical solutions are also provided. Copyright © 2017 Research India Publications.
Original languageEnglish
Pages (from-to)121-133
JournalAdvances in Theoretical and Applied Mathematics (ATAM)
Volume12
Issue number2
Publication statusPublished - 2017

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Citation

Yee, T. L. (2017). Exact solutions of the slowly varying amplitudes of two interacting families for nonlinearly coupled Ginzburg-Landau equations. Advances in Theoretical and Applied Mathematics, 12(2), 121-133.

Keywords

  • Complex Ginzburg-Landau equations
  • Nonintegrable
  • Hirota method