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In this paper, we examine the existence of solitary waves to the following equation ut + a(u )x + (bH ut + uyy)x = 0, where H is the Hilbert transform with respect to x, and a and b are real numbers, with b > 0, via a variant of the mountain pass lemma. AMS Subject Classification: 35A01, 35G25, 42B35, 35C08

A NOTE ON THE EXISTENCE OF SOLITARY WAVES TO THE REGULARIZED BENJAMIN-ONO ZAKHAROV-KUZNETSOV (rBO-ZK) EQUATION