4.5 Article

Obliquely propagating skew KP lumps

Journal

WAVE MOTION
Volume 64, Issue -, Pages 92-102

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2016.03.005

Keywords

Skew lump; Kadomtsev-Petviashvili equation; Soliton; Multi-lumps

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Obliquely propagating skew lumps are studied within the framework of the Kadomtsev-Petviashvili equation with a positive dispersion (the KP1 equation). Specific features of such lumps are analysed in detail. It is shown that skew multi-lump solutions can be also constructed within the framework of such an equation. As an example, the bi-lump solution is presented in the explicit form, analysed and illustrated graphically. The relevance of skew lumps to the real physical systems is discussed. (C) 2016 Elsevier B.V. All rights reserved.

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