Decay of Kadomtsev-Petviashvili lumps in dissipative media

PHYSICA D-NONLINEAR PHENOMENA

卷:366

Article

Clarke, S.¹  Gorshkov, K.²  Grimshaw, R.³  Stepanyants, Y.^4,5 

[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia

[2] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod, Russia

[3] UCL, London, England

[4] Nizhnii Novgorod State Tech Univ, Nizhnii Novgorod, Russia

[5] Univ Southern Queensland, Toowoomba, Qld 4350, Australia

关键词: Kadomtsev-Petviashvili equation;    Soliton;    Lump;    Dissipation;    Adiabatic theory;    Numerical calculations;   

DOI  :  10.1016/j.physd.2017.11.009

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

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