Decay of Kadomtsev-Petviashvili lumps in dissipative media

作者：Clarke, S.; Gorshkov, K.; Grimshaw, R.; Stepanyants, Y.^*

来源：Physica D: Nonlinear Phenomena , 2018, 366: 43-50.

DOI：10.1016/j.physd.2017.11.009

• Kadomtsev-Petviashvili equation
• Soliton
• Lump
• Dissipation
• Adiabatic theory
• Numerical calculations

The decay of Kadomtsev-Petviashvili lumps is considered for a few typical dissipations Rayleigh dissipation, Reynolds dissipation, Landau damping, Chezy bottom friction, viscous dissipation in the laminar boundary layer, and radiative losses caused by large-scale dispersion. It is shown that the straight-line motion of lumps is unstable under the influence of dissipation. The lump trajectories are calculated for two most typical models of dissipation the Rayleigh and Reynolds dissipations. A comparison of analytical results obtained within the framework of asymptotic theory with the direct numerical calculations of the Kadomtsev-Petviashvili equation is presented. Good agreement between the theoretical and numerical results is obtained.

• 出版日期2018-3-1