Dai, Zhengde; Huang, Jian; Jiang, Murong; Wang, Shenghua Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint. (English) Zbl 1070.35029 Chaos Solitons Fractals 26, No. 4, 1189-1194 (2005). Summary: We study the explicit homoclinic orbits solutions for the “bad” Boussinesq equation with periodic boundary condition and even constraint, and periodic soliton solutions for the “good” Boussinesq equation with even constraint. Cited in 1 ReviewCited in 26 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) PDF BibTeX XML Cite \textit{Z. Dai} et al., Chaos Solitons Fractals 26, No. 4, 1189--1194 (2005; Zbl 1070.35029) Full Text: DOI OpenURL References: [1] Zakharov, V.E., Collapse of Langmuir waves, Sov phys JETP, 35, 908-912, (1972) [2] Ablowitz, M.J.; Hernst, B.M., SIAM J appl math, 50, 339, (1990) [3] Ercolani, N.; Forest, M.G.; Mclaughlin:, D.W., Phys D, 43, 349, (1990) [4] Ablowitz, M.J.; Herbst, B.M.; Schober, C.M., J comput phys, 126, 299, (1996) [5] Herbst, B.M.; Ablowitz, M.J.; Ryan, E., Comput phys commun, 65, 137, (1991) [6] Mckean, H.P., Common pure appl math, XXXIV, 599-691, (1981) [7] Hirota, R., Phys rev lett, 27, 1192, (1971) [8] Hirota R, Satsuma J. 2000;53(3):283-99 [9] Bona, J.L.; Sachs, R.L., Commun math phys, 118, 15-29, (1988) [10] Weiss, J., J math phys, 26, 258-269, (1985) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.