Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation
Sign Up to like & getrecommendations! Published in 2020 at "Analysis and Mathematical Physics"
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
Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Journal of Physics"
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
Exact solitary wave solutions to the new (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation
Sign Up to like & getrecommendations! Published in 2017 at "Optik"
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
New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas
Sign Up to like & getrecommendations! Published in 2017 at "AIP Advances"
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
Solitary waves, rogue waves and homoclinic breather waves for a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili equation
Sign Up to like & getrecommendations! Published in 2017 at "Modern Physics Letters B"
DOI: 10.1142/s0217984917502815
Abstract: We study a (2 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell’s polynomials, an effective way is employed to succinctly construct the bilinear form of… read more here.
Keywords: solitary waves; kadomtsev petviashvili; waves rogue; dimensional generalized ... See more keywords
New types of interaction solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation
Sign Up to like & getrecommendations! Published in 2020 at "Modern Physics Letters B"
DOI: 10.1142/s0217984920502371
Abstract: In this paper, with the aid of symbolic computation system Maple, and based on the simplified Hirota method and ansatz technique, we discussed the (3+1)-dimensional generalized Kadomtsev–Petviashvi... read more here.
Keywords: types interaction; new types; interaction solutions; dimensional generalized ... See more keywords