Kita, Naoyasu Faculty of Advanced Science and Technology, Kumamoto University, Kumamoto 860-8555, Japan
This paper studies the large time behavior of a small solution to the generalized Benjamin-Ono equation with a short range nonlinearity, i.e., with the power of nonlinearity greater than 3. In this case, it is well-known that the solution is asymptotically free as . We are interested in the asymptotic expansion of the solution, and determine the second asymptotic term. In order to specify the second asymptotic term, we will apply a technique of Fourier series expansion.
Benjamin-Ono type equations
Large time behavior
Elsevier Journal of Mathematical Analysis and Applications
Faculty of Science and Engineering