Mann-Whitney U test when variances are unequal

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Visit larger displays but probe proportionally fewer flowers: counterintuitive behaviour of nectar-collecting bumble bees achieves an ideal free distribution (2002, methodology): “When variances significantly differed between areas, we alternatively used tests for equality of medians (Sokal & Rohlf 1995) to avoid a type I and/or type II error due to heterogeneity of variances (Kasuya 2001).”
The unequal variance t-test is an underused alternative to Student's t-test and the Mann–Whitney U test (2006, background): “The fallacy of argument 3 has been demonstrated previously on several occasions (e.g., Kasuya 2001; Neuhauser 2002).”