Alagesan, Thangavel; Uthayakumar, Ambigapathy; Porsezian, Kuppusamy The generalisation of integrable \((2+1)\)-dimensional dispersive long-wave equations. (English) Zbl 0946.35079 J. Phys. Soc. Japan 66, No. 5, 1288-1290 (1997). Summary: A generalisation of the integrable \((2+1)\)-dimensional dispersive long-wave equation, introduced by Boiti et al., is considered and is shown to possess the Painlevé property. The bilinear transformation is obtained straightforwardly from the Painlevé analysis. MSC: 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.) Keywords:dispersive long-wave equation; Painlevé property; bilinear transformation PDFBibTeX XMLCite \textit{T. Alagesan} et al., J. Phys. Soc. Japan 66, No. 5, 1288--1290 (1997; Zbl 0946.35079) Full Text: DOI