Chen, Yong; Wang, Qi Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation. (English) Zbl 1195.35258 Phys. Lett., A 347, No. 4-6, 215-227 (2005). Summary: A series of complexiton solutions of the Whitham-Broer-Kaup equation are found through a multiple Riccati equations rational expansion method presented in this Letter. Many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rational function solutions, etc., are obtained. Cited in 17 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) Keywords:Whitham-Broer-Kaup equation; multiple Riccati equations rational expansion method; complexiton solution PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Wang}, Phys. Lett., A 347, No. 4--6, 215--227 (2005; Zbl 1195.35258) Full Text: DOI References: [1] Parkes, E. J.; Duffy, B. R., Phys. Lett. A, 229, 217 (1997) · Zbl 0972.35528 [2] Fan, E., Phys. Lett. A, 294, 26 (2002) [3] Yan, Z. Y., Phys. Lett. A, 292, 100 (2001) [4] Li, B.; Chen, Y.; Zhang, H. Q., Appl. Math. Comput., 146, 653 (2003) [5] Wang, Q.; Chen, Y.; Li, B.; Zhang, H. Q., Appl. Math. Comput., 160, 77 (2005) [6] Wang, Q.; Chen, Y.; Li, B.; Zhang, H. Q., Commun. Theor. Phys. (Beijing), 43, 769 (2005) [7] Whitham, G. B., Proc. R. Soc. A, 299, 6 (1967) [8] Broer, L. J., Appl. Sci. Res., 31, 377 (1975) [9] Kaup, D. J., Prog. Theor. Phys., 54, 369 (1975) [10] Kupershmidt, B. A., Commun. Math. Phys., 99, 51 (1985) [11] Yan, Z. Y.; Zhang, H. Q., Phys. Lett. A, 285, 355 (2001) [12] Xie, F. D.; Yan, Z. Y.; Zhang, H. Q., Phys. Lett. A, 285, 76 (2001) [13] Chen, Y.; Zheng, Y., Int. J. Mod. Phys. C, 14, 601 (2003) [14] Chen, Y.; Wang, Q.; Li, B., Chaos Solitons Fractals, 22, 675 (2004) [15] Wu, W. J. (1994), Springer-Verlag: Springer-Verlag Berlin [16] Ma, W. X., Phys. Lett. A, 301, 35 (2002) [17] Lou, S. Y.; Hu, H. C.; Tang, X. Y., Phys. Rev. E, 71, 036604 (2005) 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.