2 papers
math.AP2021
Existence of Davey--Stewartson type solitary waves for the fully dispersive Kadomtsev--Petviashvilii equation
Mats Ehrnström, Mark D. Groves, Dag Nilsson
We prove existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with weak surface tension. The resulting waves are s…
math.AP2018
Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev--Petviashvili equation
Mats Ehrnström, Mark Groves
The KP-I equation \[ (u_t-2uu_x+\tfrac{1}{2}(β-\tfrac{1}{3})u_{xxx})_x -u_{yy}=0 \] arises as a weakly nonlinear model equation for gravity-capillary waves with strong surface tens…