Wave Breaking Phenomena for the Fornberg–Whitham Equation
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DOI: 10.1007/s10884-020-09866-z
Abstract: This paper is devoted to studying wave breaking phenomena for the Fornberg–Whitham equation. Making use of the structure and the conservation quantity of the Fornberg–Whitham equation, we give a sufficient condition on the initial data… read more here.
Keywords: wave breaking; whitham equation; fornberg whitham; phenomena fornberg ... See more keywords
On the blow-up of solutions for the Fornberg–Whitham equation
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.06.004
Abstract: Abstract Wave breaking of the water wave is important and interesting to physicist and mathematician. The present article is devoted to studying wave breaking (bounded solutions with unbounded derivative) of the Fornberg–Whitham equation. By virtue… read more here.
Keywords: solutions fornberg; whitham equation; fornberg whitham; blow solutions ... See more keywords
Periodic traveling-wave solutions to the Whitham equation
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DOI: 10.1051/mmnp/2018026
Abstract: We investigate periodic traveling-wave solutions to the Whitham equation. It is shown that for solutions of this type, the Whitham equation can be expressed as a nonlinear integral equation of Hammerstein form. Solutions to this… read more here.
Keywords: wave solutions; solutions whitham; whitham equation; periodic traveling ... See more keywords
He’s fractional derivative and its application for fractional Fornberg-Whitham equation
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DOI: 10.2298/tsci151025054w
Abstract: Fractional Fornberg-Whitham equation with He’s fractional derivative is studied in a fractal process. The fractional complex transform is adopted to convert the studied fractional equation into a differential equation, and He's homotopy perturbation method (HPM)… read more here.
Keywords: fractional fornberg; whitham equation; fornberg whitham; fractional derivative ... See more keywords