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The generalisation of integrable \((2+1)\)-dimensional dispersive long-wave equations. (English) Zbl 0946.35079

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.)
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