The stability of finite amplitude, two-dimensional solitary waves of permanent form in water of uniform depth with respect to two-dimensional infinitesimal disturbances is investigated. It is numerically confirmed that the recent analytical results obtained by Saffman (submitted to J. Fluid Mech.) for the ‘‘superharmonic’’ instability of periodic waves hold also in the case of solitary waves.
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Mitsuhiro Tanaka (1986) studied this question.
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