Fifth order evolution equation of gravity-capillary waves
Chowdhury, Dipankar ; Debsarma, Suma
ANZIAM Journal, Tome 58 (2017), / Harvested from Australian Mathematical Society
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We extend the evolution equation for weak nonlinear gravity–capillary waves by including fifth-order nonlinear terms. Stability properties of a uniform Stokes gravity–capillary wave train is studied using the evolution equation obtained here. The region of stability in the perturbed wave-number plane determined by the fifth-order evolution equation is compared with that determined by third- and fourth-order evolution equations. We find that if the wave number of longitudinal perturbations exceeds a certain critical value, a uniform gravity–capillary wave train becomes unstable. This critical value increases as the wave steepness increases. doi:10.1017/S144618111700027X

Publié le : 2017-01-01
DOI : https://doi.org/10.21914/anziamj.v59i0.10867 
@article{10867,
     title = {Fifth order evolution equation of gravity-capillary waves},
     journal = {ANZIAM Journal},
     volume = {58},
     year = {2017},
     doi = {10.21914/anziamj.v59i0.10867},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/10867}
}

Chowdhury, Dipankar; Debsarma, Suma. Fifth order evolution equation of gravity-capillary waves. ANZIAM Journal, Tome 58 (2017) . doi : 10.21914/anziamj.v59i0.10867. http://gdmltest.u-ga.fr/item/10867/