Publication Abstracts

Chou and Chu 1990

Chou, R.L., and C.K. Chu, 1990: Solitons induced by boundary conditions from the Boussinesq equation. Phys. Fluids A, 2, 1574-1584, doi:10.1063/1.857564.

Solitons induced by boundary excitation were first investigated numerically by Bona et al. [Philos. Trans. R. Soc. London, Ser. A 302, 457 (1981)] and by Chu et al. [Commun. Pure Appl. Math. 36, 495 (1983)] using the Korteweg-de Vries (KdV) equation. In this paper, their work is extended by considering various time-dependent boundary conditions and different unperturbed water depths. Then solitons induced from Boussinesq equations under similar conditions are studied, in order to remove the restriction in the KdV equation of propagation in only one direction. Thus soliton head-on collisions (as well as overtaking collisions) and reflections can be treated. The results from these two fully nonlinear equations are compared and they agree extremely well. The results of solitons induced by random boundary values are unexpected and particularly interesting.

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BibTeX Citation

  author={Chou, R. L. and Chu, C. K.},
  title={Solitons induced by boundary conditions from the Boussinesq equation},
  journal={Phys. Fluids A},

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RIS Citation

ID  - ch05500b
AU  - Chou, R. L.
AU  - Chu, C. K.
PY  - 1990
TI  - Solitons induced by boundary conditions from the Boussinesq equation
JA  - Phys. Fluids A
VL  - 2
SP  - 1574
EP  - 1584
DO  - 10.1063/1.857564
ER  -

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