Derivation of the mKdV equation from the Euler-Poisson system at critical densities
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.02.026
Abstract: Abstract In this paper, we consider the long wavelength limit for the Euler-Poisson system arising in plasma including three species. It is demonstrated that when the plasma has critical densities, the modified Korteweg-de Vries (mKdV)… read more here.
Keywords: euler poisson; mkdv equation; poisson system;
The mKdV equation and multi-parameters rational solutions
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DOI: 10.1016/j.wavemoti.2020.102667
Abstract: Abstract N -order solutions to the modified Korteweg–de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2 N real parameters. When one of these parameters… read more here.
Keywords: multi parameters; parameters rational; rational solutions; mkdv equation ... See more keywords
A detailed study on a new $(2 + 1)$-dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02789-5
Abstract: The present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo–Fabrizio (CF) derivative. More explicitly, a new $(2 + 1)$ -dimensional mKdV (2D-mKdV) equation involving the Caputo–Fabrizio time-fractional derivative… read more here.
Keywords: time fractional; mkdv equation; caputo fabrizio; involving caputo ... See more keywords
On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics
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DOI: 10.1515/phys-2018-0030
Abstract: Abstract In this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it. By an appropriate substitution, we convert this equation… read more here.
Keywords: kdv mkdv; mkdv equation; physics; dimensional kdv ... See more keywords
Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron-Positron Plasma
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DOI: 10.3390/sym15020361
Abstract: In this paper, we discuss the time-fractional mKdV–ZK equation, which is a kind of physical model, developed for plasma of hot and cool electrons and some fluid ions. Based on the properties of certain employed… read more here.
Keywords: wave solutions; time fractional; equation; mkdv equation ... See more keywords