Results 11 to 20 of about 9,346 (260)

Rational Solutions and Their Interaction Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation

open access: yesAdvances in Mathematical Physics, 2020
In this paper, we gave a form of rational solution and their interaction solution to a nonlinear evolution equation. The rational solution contained lump solution, general lump solution, high-order lump solution, lump-type solution, etc.
Xiaomin Wang, Sudao Bilige, Jing Pang
doaj   +1 more source

M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation

open access: yesAdvances in Mathematical Physics, 2022
In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions.
Rihan Hai, Hasi Gegen
doaj   +1 more source

Test of Siegel gauge for the lump solution [PDF]

open access: yesJournal of High Energy Physics, 2001
LaTeX file, 14 ...
Mukhopadhyay, Partha, Sen, Ashoke
openaire   +2 more sources

Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation

open access: yesResults in Physics, 2021
In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
doaj   +1 more source

Multiple-order line rogue wave, lump and its interaction, periodic, and cross-kink solutions for the generalized CHKP equation

open access: yesPropulsion and Power Research, 2021
The multiple-order line rogue wave solutions method is emp loyed for searching the multiple soliton solutions for the generalized (2 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili (CHKP) equation, which contains first-order, second-order, and third-
Yufeng Qian   +5 more
doaj   +1 more source

Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation

open access: yesComplexity, 2020
Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form.
Chuanjian Wang, Hui Fang
doaj   +1 more source

Study of compressive and rarefactive lump solitons structures in dusty plasma with double spectral (r,q) distributed electrons

open access: yesJournal of Taibah University for Science, 2023
Nonlinear features are revealed by one of the most competent and powerful approaches, i.e. soliton theory. The present article starts with the dust collisionless magnetized plasma where electrons are following double spectral [Formula: see text ...
Uday Narayan Ghosh
doaj   +1 more source

Application of the polynomial function method to the variable-coefficient Kadomtsev–Petviashvili equation

open access: yesResults in Physics, 2023
In this paper, we research a (2+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics. The lump, lump-soliton and lump-periodic solutions are derived based on the variable-coefficient polynomial function
Xue-Sha Wu, Hao-Miao Zhang, Jian-Guo Liu
doaj   +1 more source

A New Nonlinear Equation with Lump‐Soliton, Lump‐Periodic, and Lump‐Periodic‐Soliton Solutions

open access: yesComplexity, 2019
An extended (2+1)‐dimensional Calogero‐Bogoyavlenskii‐Schiff‐like equation is proposed by using the generalized bilinear operators based on a prime number p = 3. By combining multiexponential functions with a quadratic function, the interaction between lumps and multikink soliton is generated.
Bo Ren 0004, Ji Lin 0003, Zhi-mei Lou
openaire   +2 more sources

Multiple soliton and M-lump waves to a generalized B-type Kadomtsev–Petviashvili equation

open access: yesResults in Physics, 2023
In this study, we focus on the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili (gBKP) equation in fluid dynamics, which is useful for modeling weakly dispersive waves transmitted in quasi media and fluid mechanics.
Hajar F. Ismael   +4 more
doaj   +1 more source

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