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.
|Journal||Advances in Theoretical and Applied Mathematics (ATAM)|
|Publication status||Published - 2017|
CitationYee, 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.
- Complex Ginzburg-Landau equations
- Hirota method