| Abstract: |
| The present work is a higher-order nonlinear dispersive equation which models unidirectional wave propagation of small amplitude and long wave length. The equation is posed on line and the interest here is the relationship between two types of solutions. One is in standard Sobolev spaces, so the solution is localized in space, and the other is in periodic spaces with the period 2l. The principal new result is the convergence of the periodic solutions to the solutions in Sobolev spaces as the period 2l tends to infinity. |
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