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 language | English |
|---|---|
| Pages (from-to) | 121-133 |
| Journal | Advances in Theoretical and Applied Mathematics (ATAM) |
| Volume | 12 |
| Issue number | 2 |
| Publication status | Published - 2017 |
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