On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current | Zendy

Dali Guo | Zendy; Bo Tao | Zendy; Xiaohui Zeng | Zendy

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On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current

Author(s) -

Dali Guo,

Bo Tao,

Xiaohui Zeng

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/480670

Subject(s) - conservative vector field , amplitude , perturbation (astronomy) , mechanics , physics , gravity wave , longitudinal wave , love wave , wave propagation , geology , classical mechanics , mechanical wave , optics , quantum mechanics , compressibility

The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. The stability of different kinds of solitary waves is considered. Both depression wave and large amplitude elevation wave are found to be stable, while small amplitude elevation wave is unstable to the small perturbation, and it finally evolves to be a depression wave with tails, which is similar to the irrotational capillary-gravity waves

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