Lü, Dazhao Jacobi elliptic function solutions for two variant Boussinesq equations. (English) Zbl 1072.35567 Chaos Solitons Fractals 24, No. 5, 1373-1385 (2005). Summary: A general Jacobi elliptic function expansion method is proposed to construct abundant Jacobi elliptic function (doubly periodic) solutions for two variant Boussinesq equations. These Jacobi elliptic function solutions degenerate to the soliton wave solutions and trigonometric function solutions at a certain limit condition. Cited in 38 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions Keywords:doubly periodic solutions; soliton wave solutions; trigonometric function solutions PDF BibTeX XML Cite \textit{D. Lü}, Chaos Solitons Fractals 24, No. 5, 1373--1385 (2005; Zbl 1072.35567) Full Text: DOI OpenURL References: [1] Liu, S.K., Phys. lett. A, 289, 69, (2001) [2] Fu, Z.T., Phys. lett. A, 290, 72, (2001) [3] Yan, Z.Y., Comput. phys. commun., 148, 30, (2002) [4] Yan, Z.Y., Comput. phys. commun., 153, 145, (2003) [5] Wang, M.L., Phys. lett. A, 199, 169, (1995) [6] Fan, E.G., Chaos, solitons & fractals, 15, 559, (2003) [7] Malfliet, W., Am. J. phys., 60, 65, (1992) [8] Yan, C.T., Phys. lett. A, 224, 77, (1996) [9] Wang, D.M., Elimination methods, (2001), Springer-Verlag New York · Zbl 0964.13014 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.