1.1 Some rhymes are better than other rhymes. Everyone would agree that home – bone is a better rhyme than home – dose. 1.2 Intuitively, home – bone is a better rhyme because those words are more similar to each other than the words in home – dose are. 1.3 Although there is general agreement that the goodness of a rhyme is determined by similarity, there are different suggestions for how rhyme ...

The Cauchy problem for the Kawahara equation with data in analytic Gevrey spaces on circle is considered and its local well-posedness these proved. Using Bourgain-Gevrey type appropriate bilinear estimates, it shown that time wellposedness holds when initial belong to an of order σ. Moreover, solution not necessarily Gσ time. However, belongs G5σ near zero every x circle. We study a . With circ...