Liu, Jianbin; Yang, Lei; Yang, Kongqing Nonlinear transform and Jacobi elliptic function solutions of nonlinear equations. (English) Zbl 1049.35076 Chaos Solitons Fractals 20, No. 5, 1157-1164 (2004). Summary: The nondegenerative elliptic function solutions of some nonlinear equations are obtained by a nonlinear transform, which names the Jacobi elliptic function expansion. When taking particular parameters, the elliptic function solutions can degenerate as solitary wave solutions and singularity solutions. Cited in 2 Documents MSC: 35G20 Nonlinear higher-order PDEs 35A22 Transform methods (e.g., integral transforms) applied to PDEs 35C05 Solutions to PDEs in closed form PDFBibTeX XMLCite \textit{J. Liu} et al., Chaos Solitons Fractals 20, No. 5, 1157--1164 (2004; Zbl 1049.35076) Full Text: DOI References: [1] Otwinowski, M., Phys. Lett. A, 128, 483 (1988) [2] Yang, L.; Zhu, Z.; Wang, Y., Phys. Lett. A, 260, 55 (1999) [3] Yang, L.; Yang, K., Phys. Rev. E, 63, 036301 (2001) [4] Li, B.; Chen, Y.; Zhang, H. Q., Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation, Appl. Math. Comput., 146, 653-666 (2003) · Zbl 1037.35070 [5] Fu, Z.; Liu, S.; Liu, S.; Zhao, Q., Phys. Lett. A, 290, 72 (2001) [6] Wang M. Report on the workshop of mathematical physics, Lanzhou University, China, August 2002; Wang M. Report on the workshop of mathematical physics, Lanzhou University, China, August 2002 [7] Korpel, A.; Banerjee, P. P., A heuristic guide to nonlinear dispersive wave equations and soliton-type solutions, Proc. IEEE, 72, 1109-1130 (1984) [8] Sawada, K.; Kotera, T., Prog. Theor. Phys., 51, 1355 (1974) 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.