Zhou, Yubin; Wang, Mingliang; Wang, Yueming Periodic wave solutions to a coupled KdV equations with variable coefficients. (English) Zbl 1008.35061 Phys. Lett., A 308, No. 1, 31-36 (2003). Summary: The periodic wave solutions to coupled KdV equations with variable coefficients are obtained by using the \(F\)-expansion method which can be thought of as an overall generalization of the Jacobi elliptic function expansion method. In the limit cases, the solitary wave solutions are obtained as well. Cited in 117 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35C10 Series solutions to PDEs Keywords:\(F\)-expansion method; Jacobi elliptic function expansion method; solitary wave solutions PDFBibTeX XMLCite \textit{Y. Zhou} et al., Phys. Lett., A 308, No. 1, 31--36 (2003; Zbl 1008.35061) Full Text: DOI References: [1] Hirota, R.; Satsum, J., Phys. Lett. A, 85, 407 (1981) [2] Grimshow, R. H.J., Proc. R. Soc., 368, 359 (1979) [3] Nirmala, N.; Vedan, M. J.; Baby, B. V., J. Math. Phys., 27, 2640 (1986) [4] Joshi, N., Phys. Lett. A., 125, 456 (1987) [5] Hong, W.; Jung, Y. D., Phys. Lett. A, 257, 149 (1999) [6] Wang, M. L.; Wang, Y. M., Phys. Lett. A, 287, 211 (2001) [7] Liu, S. K.; Fu, Z. T.; Liu, S. D.; Zhao, Q., Phys. Lett. A, 289, 69 (2001) [8] Fu, Z. T.; Liu, S. K.; Liu, S. D.; Zhao, Q., Phys. Lett. A, 290, 72 (2001) [9] Parkes, E. J.; Duffy, B. R.; Abott, P. C., Phys. Lett. A, 295, 280 (2002) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.