Soliton molecules and exp(−Φ(ζ)) expansion method for the new (3 + 1)-dimensional kadomtsev-Petviashvili (KP) equation
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2021.04.001
Abstract: Abstract In this work, the soliton molecules, three soliton molecules and four soliton molecules are obtained for the new (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation by the velocity resonance mechanism which is a new resonance… read more here.
Keywords: dimensional kadomtsev; new dimensional; petviashvili equation; soliton ... See more keywords
Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
Sign Up to like & getrecommendations! Published in 2020 at "Results in physics"
DOI: 10.1016/j.rinp.2020.103149
Abstract: Abstract In recent years, searching for analytic solutions to nonlinear evolution equations has become a popular topic. In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation is proposed. With the help of symbolic calculation, the multiple-soliton… read more here.
Keywords: kadomtsev petviashvili; petviashvili equation; multiple soliton; dimensional kadomtsev ... See more keywords
Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2019.1685088
Abstract: By using symbolic computation methods, we systematically study a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq (KP-Boussinesq) equation, which can be used to explain some interesting physical phenomena in the fields of fluids. We first obtain bilinear representation of… read more here.
Keywords: kadomtsev petviashvili; petviashvili boussinesq; dimensional kadomtsev; boussinesq equation ... See more keywords
Exact Solutions for the Generalized Atangana-Baleanu-Riemann Fractional (3 + 1)-Dimensional Kadomtsev-Petviashvili Equation
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym15010003
Abstract: In this article, the generalized Jacobi elliptic function expansion method with four new Jacobi elliptic functions was used to the generalized fractional (3 + 1)-dimensional Kadomtsev–Petviashvili (GFKP) equation with the Atangana-Baleanu-Riemann fractional derivative, and abundant… read more here.
Keywords: fractional dimensional; equation; dimensional kadomtsev; kadomtsev petviashvili ... See more keywords