The dynamic behaviors between multi-soliton of the generalized $$\pmb {(3+1)}$$-dimensional variable coefficients Kadomtsev–Petviashvili equation
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DOI: 10.1007/s11071-020-05900-3
Abstract: In this work, the generalized $$(3+1)$$ -dimensional variable coefficients Kadomtsev–Petviashvili equation, widely used in fluids or plasmas, is analyzed via the unified method and its general form. The multi-soliton rational solutions are obtained including single-… read more here.
Keywords: variable coefficients; kadomtsev petviashvili; coefficients kadomtsev; soliton ... See more keywords
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
Bifurcation of traveling waves and exact solutions of Kadomtsev–Petviashvili modified equal width equation with fractional temporal evolution
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DOI: 10.1007/s40314-019-0762-3
Abstract: The article is devoted in the study of the Kadomtsev–Petviashvili modified equal width equation with fractional temporal evolution in which modified Riemann–Liouville derivative is considered. We discuss the dynamical behavior of the system using bifurcation… read more here.
Keywords: modified equal; equation fractional; petviashvili modified; kadomtsev petviashvili ... See more keywords
Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
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DOI: 10.1016/j.cjph.2021.03.001
Abstract: Abstract To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method… read more here.
Keywords: solutions dimensional; generalized kadomtsev; interaction solutions; kadomtsev petviashvili ... 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
Exact solitary wave solutions to the new (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation
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DOI: 10.1016/j.ijleo.2016.10.014
Abstract: Abstract The new (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation, which was introduced by Wazwaz and El-Tantawy in 2016, has been studied analytically. There are two tools of integration are employed to solve this mathematical–physical model. First, We… read more here.
Keywords: kadomtsev petviashvili; wave solutions; solitary wave; dimensional generalized ... See more keywords
Low regularity for the fifth order Kadomtsev–Petviashvili-I type equation
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DOI: 10.1016/j.jde.2017.06.032
Abstract: Abstract The Cauchy problem of the fifth order Kadomtsev–Petviashvili-I equation (fifth-KP-I) (0.1) ∂ t u + ∂ x 5 u ± ∂ x 3 u − ∂ x − 1 ∂ y y u +… read more here.
Keywords: order kadomtsev; fifth order; kadomtsev petviashvili;
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
The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation
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DOI: 10.1016/j.jmaa.2020.124198
Abstract: Abstract This paper is devoted to studying the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili (RMKP) type equation ∂ x ( u t − β ∂ x 3 u + ∂ x ( u 2 )… read more here.
Keywords: kadomtsev petviashvili; cauchy problem; rotation modified; equation ... 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
Lie analysis, conservation laws and travelling wave structures of nonlinear Bogoyavlenskii–Kadomtsev–Petviashvili equation
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DOI: 10.1016/j.rinp.2020.103492
Abstract: Abstract In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator… read more here.
Keywords: kadomtsev petviashvili; bogoyavlenskii kadomtsev; wave structures; travelling wave ... See more keywords