| Abstract: |
| The KP-I equation arises as a weakly nonlinear model equation for gravity-capillary waves with Bond number \(\beta > 1/3\) also called strong surface tension.This equation has recently been shown to have a family of nondegenerate, symmetric fully localised solitary waves which decay to zero in all spatial directions.The full-dispersion KP-I equation is obtained by retaining the exact dispersion relation in the modelling from the water-wave problem. In this paper we show that the FDKP-I equation also has a family of symmetric fullly localised solitary waves which are obtained by casting it as a perturbation of the KP-I equation and applying a suitable variant of the implicit-function theorem. |
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