Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+ 1)-dimensional nonlinear evolution equation

YH Yin, X Lü, WX Ma - Nonlinear Dynamics, 2022 - Springer
Under investigation in this paper is a (3+ 1)-dimensional nonlinear evolution equation,
which was proposed and analyzed to study features and properties of nonlinear dynamics in …

[HTML][HTML] Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev–Petviashvili equation

OA Ilhan, J Manafian, M Shahriari - Computers & Mathematics with …, 2019 - Elsevier
By way of symbolic computation with the help of Maple, diverse of exact solutions for a
variable-coefficient Kadomtsev–Petviashvili equation are successfully derived, based on the …

M-lump, high-order breather solutions and interaction dynamics of a generalized -dimensional nonlinear wave equation

Z Zhao, L He - Nonlinear Dynamics, 2020 - Springer
In this paper, a generalized (2+ 1)(2+ 1)-dimensional nonlinear wave equation is obtained
by extending the generalized (2+ 1)(2+ 1)-dimensional Hirota bilinear equation into a more …

[PDF][PDF] Three types of periodic solutions of new (3+ 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method

JM Qiao, RF Zhang, RX Yue… - … Methods in the …, 2022 - drive.google.com
The study of solitary wave solutions of nonlinear evolution equations (NLEEs) has always
been a hot topic in nonlinear science which has attracted many researchers in the field of …

A high dimensional evolution model and its rogue wave solution, breather solution and mixed solutions

S Bai, X Yin, N Cao, L Xu - Nonlinear Dynamics, 2023 - Springer
In this study, a bilinear neural network method is used to solve the exact solutions of the (2+
1)-dimensional Kadomtsev–Petviashvili equation, which is a new geophysical fluid …

Solitary wave solutions for the higher dimensional Jimo-Miwa dynamical equation via new mathematical techniques

AR Seadawy, H Zahed, M Iqbal - Mathematics, 2022 - mdpi.com
In this study, under the considerations of symbolic computation with the help of Mathematica
software, various types of solitary wave solutions for the (3+ 1)-dimensional Jimo–Miwa (JM) …

[HTML][HTML] Lump-type solutions and lump solutions for the (2+ 1)-dimensional generalized Bogoyavlensky–Konopelchenko equation

Q Li, T Chaolu, YH Wang - Computers & Mathematics with Applications, 2019 - Elsevier
Abstract In this paper, a (2+ 1)-dimensional generalized Bogoyavlensky–Konopelchenko
equation is investigated. Lump-type solutions and lump solutions are obtained with aid of …

Complexiton, complex multiple kink soliton and the rational wave solutions to the generalized (3+ 1)-dimensional kadomtsev-petviashvili equation

KJ Wang, S Li - Physica Scripta, 2024 - iopscience.iop.org
Some new exact solutions of the generalized (3+ 1)-dimensional Kadomtsev-Petviashvili
equation (KPE) are explored in this study. Firstly, the resonant multiple soltion solutions …

Three-wave interactions in a more general (2+ 1)-dimensional Boussinesq equation

D Zhao, Zhaqilao - The European Physical Journal Plus, 2020 - Springer
Abstract A more general (2+ 1)-dimensional Boussinesq equation with five arbitrary
constants is studied. Multi-soliton solution, multi-breather solution, higher-order lump …

[HTML][HTML] New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation

R Zhang, S Bilige, T Fang, T Chaolu - Computers & Mathematics with …, 2019 - Elsevier
By means of symbolic computation with the help of Maple, diverse of exact solutions for the
Jimbo–Miwa-like equation are successfully derived, based on the generalized bilinear …