Wave Breaking Phenomena for the Fornberg–Whitham Equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
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
Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model equations
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DOI: 10.1016/j.rinp.2021.103907
Abstract: Abstract The nonlinear partial differential equations having travelling or solitary wave solutions is numerically challenging, in which one of the important type is the Fornberg–Whitham model equation. This article aims to solve the Fornberg–Whitham type… read more here.
Keywords: whitham model; fornberg whitham; method; approximate numerical ... 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
Fractional View Analysis of Fornberg-Whitham Equations by Using Elzaki Transform
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DOI: 10.3390/sym14102118
Abstract: We present analytical solutions of the Fornberg–Whitham equations with the aid of two well-known methods: Adomian decomposition transform and variational iteration transform involving fractional-order derivatives with the Atangana–Baleanu–Caputo derivative. The Elzaki transformation is used in… read more here.
Keywords: fornberg whitham; equations using; analysis; whitham equations ... See more keywords