Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques
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DOI: 10.1016/j.rinp.2020.103775
Abstract: Abstract This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method. Multi-waves solutions and exponential function solutions are successfully extracted. To share more… read more here.
Keywords: construction multi; kadomtsev petviashvili; petviashvili equation; equation via ... See more keywords
Multiplicity Results for a (p1(x), p2(x))‐Laplacian Equation via Variational Methods
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DOI: 10.1155/2024/7622379
Abstract: We prove the existence and multiplicity of nontrivial weak solutions for the following (p1(x), p2(x))‐Laplacian equation involving variable exponents: . Using Ricceri’s variational principle, we show the existence of at least three weak solutions for… read more here.
Keywords: laplacian equation; equation via; multiplicity; multiplicity results ... See more keywords
Impulsive fractional order integrodifferential equation via fractional operators
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DOI: 10.1371/journal.pone.0282665
Abstract: In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as dηw(z)dzη+ζw(z)=f(z,w(z))+K(w)(z),z>z0,z≠zk,0 read more here.
Keywords: impulsive fractional; equation; equation via; integrodifferential equation ... See more keywords