Dai, Zhengde; Liu, Jun; Zeng, Xiping; Liu, Zhenjiang Periodic kink-wave and kinky periodic-wave solutions for the Jimbo-Miwa equation. (English) Zbl 1223.35267 Phys. Lett., A 372, No. 38, 5984-5986 (2008). Summary: In this Letter, by using a novel extended homoclinic test approach (EHTA) we obtain two new types of exact periodic solitary-wave and kinky periodic-wave solutions for Jimbo-Miwa equation. Moreover, we investigate the strangely mechanical features of wave solutions. These results enrich the variety of the dynamics of higher-dimensional nonlinear wave field. Cited in 23 Documents MSC: 35Q51 Soliton equations 35B35 Stability in context of PDEs 35B10 Periodic solutions to PDEs 35C08 Soliton solutions Keywords:periodic kink; soliton; kinky periodic-wave; bilinear form; mechanical feature PDFBibTeX XMLCite \textit{Z. Dai} et al., Phys. Lett., A 372, No. 38, 5984--5986 (2008; Zbl 1223.35267) Full Text: DOI References: [1] Jimbo, M.; Miwa, T., Publ. Res. Inst. Math. Sci., 19, 943 (1983) [2] Huibin, L.; Kelin, W., J. Phys. A: Math. Gen., 23, 4097 (1990) [3] Wang, M. L., Phys. Lett. A, 213, 279 (1993) [4] Ablowitz, M. J.; Herbst, B. M.; Schober, C. M., Comput. Phys., 126, 299 (1996) [5] Senthilvelan, M., Appl. Math. Comput., 123, 381 (2001) [6] Lv, Z. S.; Zhang, H. Q., Phys. Lett. A, 307, 269 (2003) [7] Tian, B.; Gao, Y. T., Comput. Phys. Commun., 95, 139 (1996) [8] Tang, X. Y.; Liang, Z. F., Phys. Lett. A, 351, 1, 398 (2006) [9] Liu, X.; Jiang, S., Appl. Math. Comput., 158, 177 (2004) [10] Xu, G., Chaos Solitons Fractals, 30, 1, 71 (2006) [11] Dai, Z.; Li, Z.; Li, D.; Liu, Z., Physica A, 384, 285 (2007) [12] Dai, Z.; Huang, J.; Jiang, M., Phys. Lett. A, 352, 4-5, 411 (2006) [13] Dai, Z.; Huang, J., J. Chin. Phys., 43, 1, 349 (2005) [14] Dai, Z.; Li, Z.; Li, D.; Liu, Z., Chin. Phys. Lett., 24, 6, 1429 (2007) [15] Dai, Z.; Li, S.; Dai, Q.; Huang, J., Chaos Solitons Fractals, 34, 4, 1148 (2007) [16] Dai, Z.; Jiang, M.; Dai, Q.; Li, S., Chin. Phys. Lett., 23, 5, 1065 (2006) [17] Dai, Z.; Liu, Z.; Li, D., Chin. Phys. Lett., 25, 5, 1531 (2008) [18] Hirota, R., Phys. Lett. A, 277, 1192 (1971) 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.