Exact periodic and blow up solutions for 2D Ginzburg-Landau equation. (English) Zbl 1227.35087
Summary: New exact periodic wave solutions for the 2D Ginzburg-Landau equation are obtained using the homogeneous balance principle and general Jacobi elliptic function method. Furthermore, a blow up solution is provided. At the end, some properties about these solutions are showed by the graphs.
Keywords:
Ginzburg-Landau equation; periodic wave; blow up solution; Jacobi elliptic function; homogeneous balance principleReferences:
| [1] | Van Saarloos, W.; Hohenberg, P. C., Physica D, 56, 303 (1992) · Zbl 0763.35088 |
| [2] | Cross, C.; Hohenberg, P. C., Rev. Mod. Phys., 65, 851 (1993) · Zbl 1371.37001 |
| [3] | Fang, F.; Xiao, Y., Opt. Commun., 268, 2, 305 (2006) |
| [4] | Zhou, Y. B.; Wang, M. L., Phys. Lett. A, 308, 31 (2003) · Zbl 1008.35061 |
| [5] | Zhou, Y.; Wang, M.; Miao, T., Phys. Lett. A, 323, 77 (2004) · Zbl 1118.81480 |
| [6] | Abdul-Majida; Wazwaz, Appl. Math. Lett., 19, 10, 1007 (2006) · Zbl 1118.35358 |
| [7] | Dai, Z.; Li, Z.; Liu, Z.; Li, D., Phys. Lett. A, 372, 17, 3010 (2008) · Zbl 1220.35168 |
| [8] | Fu, Z. T.; Liu, S. K.; Liu, S. D.; Zhao, Q., Phys. Lett. A, 72, 290 (2001) |
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