Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation
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DOI: 10.1007/s13324-020-00414-y
Abstract: With the Hirota bilinear method and symbolic computation, we investigate the $$(3+1)$$ -dimensional generalized Kadomtsev–Petviashvili equation. Based on its bilinear form, the bilinear Backlund transformation is constructed, which consists of four equations and five free… read more here.
Keywords: wronskian grammian; kadomtsev petviashvili; petviashvili equation; dimensional generalized ... See more keywords
Soliton molecules and exp(−Φ(ζ)) expansion method for the new (3 + 1)-dimensional kadomtsev-Petviashvili (KP) equation
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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
On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation
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DOI: 10.1016/j.jmaa.2019.05.024
Abstract: Abstract In this paper we study special properties of solutions of the initial value problem (IVP) associated to the fifth order Kadomtsev-Petviashvili II equation. Mainly, for initial data ϕ ∈ H 1 + ( R… read more here.
Keywords: petviashvili equation; order kadomtsev; kadomtsev petviashvili; fifth order ... See more keywords
Multiple-soliton and lump-kink solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
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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
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
New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas
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DOI: 10.1063/1.4999913
Abstract: In this paper, we aim to introduce a new form of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation for the long waves of small amplitude with slow dependence on the transverse coordinate. By using the Hirota’s bilinear… read more here.
Keywords: kadomtsev petviashvili; petviashvili equation; dimensional generalized; new exact ... See more keywords
Bilinearization and fractional soliton dynamics of fractional Kadomtsev-Petviashvili equation
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DOI: 10.2298/tsci180815207z
Abstract: Kadomtsev-Petviashvili equation is a mathematical model with many important applications in fluids. In this paper, a local fractional Kadomtsev-Petviashvili equation with Lax integrability is derived and solved by extending Hirota?s bilinear method. More specifically, the… read more here.
Keywords: petviashvili equation; fractional kadomtsev; kadomtsev petviashvili; equation ... See more keywords