Bhutani, O. P.; Moussa, M. H. M.; Vijaykumar, K. Krook-Wu model and integrability. (English) Zbl 0899.76310 Int. J. Eng. Sci. 33, No. 3, 331-334 (1995). Summary: Performing the Painlevé PDE test due to J. Weiss, M. Tabor and G. Carnevale [J. Math. Phys. 24, 522-526 (1983; Zbl 0514.35083)] on the Krook-Wu model of the nonlinear Boltzmann equation, it is shown that the equation possesses conditional PP. On solving the constraint equation we have arrived at two exact solutions of the said equation, one of which has turned out to be the generalized form of the Krook-Wu solution and the second solution appears to be quite new. Cited in 1 Document MSC: 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics Citations:Zbl 0514.35083 PDFBibTeX XMLCite \textit{O. P. Bhutani} et al., Int. J. Eng. Sci. 33, No. 3, 331--334 (1995; Zbl 0899.76310) Full Text: DOI References: [1] Weiss, J.; Tabor, M.; Carnevale, G., J. Math. Phys., 24, 522 (1983) [2] Krook, M.; Wu, T. T., Phys. Rev. Lett., 36, 1107 (1976) [3] Ablowitz, M. J.; Ramani, A.; Segur, H., J. Math. Phys., 21, 715 (1980) [4] McLeod, J. B.; Olver, P. J., SIAM J. Math. Anal., 14, 488 (1983) [5] Weiss, J., J. Math. Phys., 24, 1405 (1983) [6] Weiss, J., J. Math. Phys., 25, 13 (1984) [7] Steeb, W. H.; Euler, N., Nonlinear Evolution Equations and Painlevé Test (1988), World Scientific: World Scientific Singapore · Zbl 0723.34001 [8] Jimbo, M.; Kruskal, M. D.; Miwa, T., Phys. Lett. A, 92, 59 (1982) [9] Vijaykumar, K., (Ph.D. thesis (1989), IIT Delhi) 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.