High sensitivity of nonlinear wave structures in the weakly stratified fluid with respect to small perturbations of density in the upstream flow was pointed out in the paper (Benney & Ko, 1978). In present paper the influence of fine structure of stratification on one of the limiting forms, namely plateau-shaped solitary waves is analyzed. It is demonstrated that new limiting forms of solitary waves are possible in the case of continuous stratification close to linear or exponential one.

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