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
N-th-Order Solutions for the Reverse Space-Time Nonlocal mKdV Equation: Riemann-Hilbert Approach
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DOI: 10.3390/sym16121697
Abstract: This paper explores the reverse space-time mKdV equation through the application of the Riemann–Hilbert problem. Under the zero boundary condition, we derive the Jost solutions, examine their the analytic and symmetry properties alongside those of… read more here.
Keywords: mkdv equation; riemann hilbert; reverse space; space time ... See more keywords