N-soliton, soliton molecules, Y-type soliton, periodic lump and other wave solutions of the new reduced B-type Kadomtsev–Petviashvili equation for shallow water …
KJ Wang - The European Physical Journal Plus, 2024 - Springer
In the present work, we aim to look into the new reduced form of the B-type Kadomtsev–
Petviashvili equation (gBKPe) for the shallow water waves. First, the N-soliton solutions are …
Petviashvili equation (gBKPe) for the shallow water waves. First, the N-soliton solutions are …
Damped variable-coefficient fifth-order modified Korteweg-de Vries equation in fluid mechanics: Solitons, breathers, multi-pole waves and interactions
HD Liu, B Tian, CD Cheng, TY Zhou, XT Gao… - Nonlinear …, 2024 - Springer
In this paper, we investigate a damped variable-coefficient fifth-order modified Korteweg-de
Vries equation in fluid mechanics. By virtue of the simplified Hirota method, the N-soliton …
Vries equation in fluid mechanics. By virtue of the simplified Hirota method, the N-soliton …
Extended (3+ 1)-dimensional Kairat-II and Kairat-X equations: Painlevé integrability, multiple soliton solutions, lump solutions, and breather wave solutions
AM Wazwaz - International Journal of Numerical Methods for Heat & …, 2024 - emerald.com
Purpose This study aims to investigate two newly developed (3+ 1)-dimensional Kairat-II
and Kairat-X equations that illustrate relations with the differential geometry of curves and …
and Kairat-X equations that illustrate relations with the differential geometry of curves and …
Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients
H Chen, J Manafian, B Eslami, MJ Mendoza Salazar… - Scientific Reports, 2024 - nature.com
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable
coefficients is studied, which have many applications in wave phenomena and soliton …
coefficients is studied, which have many applications in wave phenomena and soliton …
On investigation of kink-solitons and rogue waves to a new integrable (3+ 1)-dimensional KdV-type generalized equation in nonlinear sciences
B Mohan, S Kumar, R Kumar - Nonlinear Dynamics, 2024 - Springer
This research study proposes a novel (3+ 1)-dimensional Painlevé integrable KdV-type
equation that generalizes well-known equations in soliton theory and nonlinear sciences. It …
equation that generalizes well-known equations in soliton theory and nonlinear sciences. It …
Study of a combined Kairat-II-X equation: Painlevé integrability, multiple kink, lump and other physical solutions
Purpose This study aims to explore a novel model that integrates the Kairat-II equation and
Kairat-X equation (K-XE), denoted as the Kairat-II-X (K-II-X) equation. This model …
Kairat-X equation (K-XE), denoted as the Kairat-II-X (K-II-X) equation. This model …
Wronskian solution, Bäcklund transformation and Painlevé analysis to a (2+ 1)-dimensional Konopelchenko–Dubrovsky equation
D Gao, WX Ma, X Lü - Zeitschrift für Naturforschung A, 2024 - degruyter.com
The main work of this paper is to construct the Wronskian solution and investigate the
integrability characteristics of the (2+ 1)-dimensional Konopelchenko–Dubrovsky equation …
integrability characteristics of the (2+ 1)-dimensional Konopelchenko–Dubrovsky equation …
Novel complexiton solutions to the new extended (3+ 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for incompressible fluid
KJ Wang, S Li - Europhysics Letters, 2024 - iopscience.iop.org
This letter gives a special attention to explore some novel exact solutions to the new
extended (3+ 1)-dimensional Boiti-Leon-Manna-Pempinelli equation that has a major role in …
extended (3+ 1)-dimensional Boiti-Leon-Manna-Pempinelli equation that has a major role in …