ISSN:
1572-9036
Keywords:
58F07
;
cnoidal waves
;
solitary waves
;
dissipation-modified KdV equation
;
stationary waves
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A generalization of the Korteweg-de Vries equation incorporating an energy input-output balance, hence a dissipation-modified KdV equation is considered. The equation is relevant to describe, for instance, nonlinear Marangoni-Bénard oscillatory instability in a liquid layer heated from above. Cnoidal waves and solitary waves of this equation are obtained both asymptotically and numerically.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00994649
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