Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation

Robin Ming Chen, Vera Mikyoung Hur, Yue Liu

Research output: Contribution to journalArticlepeer-review


The rotation-modified Kadomtsev-Petviashvili equation describes small-amplitude, long internal waves propagating in one primary direction in a rotating frame of reference. The main investigation is the existence and properties of its solitary waves. The existence and nonexistence results for the solitary waves are obtained, and their regularity and decay properties are established. Various characterizations are given for the ground states and their cylindrical symmetry is demonstrated. When the effects of rotation are weak, the energy minima constrained by constant momentum are shown to be nonlinearly stable. The weak rotation limit of solitary waves as the rotation parameter tends to zero is studied.

Original languageEnglish (US)
Pages (from-to)2949-2979
Number of pages31
Issue number12
StatePublished - Dec 1 2008
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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