Wang, Mingliang; Zhou, Yubin; Li, Zhibin Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics. (English) Zbl 1125.35401 Phys. Lett., A 216, No. 1-5, 67-75 (1996). Summary: The solitary wave solutions of the approximate equations for long water waves, the coupled KdV equations and the dispersive long wave equations in \(2 + 1\) dimensions are constructed by using a homogeneous balance method. Cited in 1 ReviewCited in 277 Documents MSC: 35Q51 Soliton equations 35Q53 KdV equations (Korteweg-de Vries equations) 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35A35 Theoretical approximation in context of PDEs PDFBibTeX XMLCite \textit{M. Wang} et al., Phys. Lett., A 216, No. 1--5, 67--75 (1996; Zbl 1125.35401) Full Text: DOI EuDML References: [1] Whitham, G. B., (Proc. R. Soc. A, 299 (1967)), 6 [2] Broer, L. T.F., Appl. Sci. Res., 31, 377 (1975) [3] Kupershmidt, B. A., Comm. Math. Phys., 99, 51 (1985) [4] Hirota, R.; Satsuma, J., Phys. Lett. A, 85, 407 (1981) [5] Dodd, R.; Frody, A., Phys. Lett. A, 89, 168 (1982) [6] Oevel, W., Phys. Lett. A, 94, 404 (1983) [7] Lu, B. Q., Phys. Lett. A, 189, 25 (1994) [8] Boiti, M., Inverse probl., 3, 371 (1987) [9] Paquin, G.; Winternitz, P., Physica D, 46, 122 (1990) [10] Lou, S., Phys. Lett. A, 176, 96 (1993) [11] Sachs, R. L., Physica D, 30, 1 (1988) [12] Wang, M., Phys. Lett. A, 199, 169 (1995) [13] M. Wang, submitted to Phys. Lett. A.; M. Wang, submitted to Phys. Lett. A. 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.