2 results
Existence and linearized stability of solitary waves for a quasilinear Benney system
- Part of
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 146 / Issue 3 / June 2016
- Published online by Cambridge University Press:
- 21 March 2016, pp. 547-564
- Print publication:
- June 2016
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We prove the existence of solitary wave solutions to the quasilinear Benney system
where
, –1 < p < +∞ and a, γ > 0. We establish, in particular, the existence of travelling waves with speed arbitrarily large if p < 0 and arbitrarily close to 0 if 
. We also show the existence of standing waves in the case 
, with compact support if – 1 < p < 0. Finally, we obtain, under certain conditions, the linearized stability of such solutions.
, –1 < 
. We also show the existence of standing waves in the case 
, with compact support if – 1 < The Second Half-With a Quarter of a Century Delay
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- Journal:
- Mathematical Modelling of Natural Phenomena / Volume 3 / Issue 7 / 2008
- Published online by Cambridge University Press:
- 23 October 2008, pp. 36-48
- Print publication:
- 2008
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- Article
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