Folded novel accurate analytical and semi-analytical solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

MMA Khater, SK Elagan, MA El-Shorbagy… - Communications in …, 2021 - iopscience.iop.org
This paper studies the analytical and semi-analytic solutions of the generalized Calogero–
Bogoyavlenskii–Schiff (CBS) equation. This model describes the (2+ 1)–dimensional …

Painlevé analysis and higher-order rogue waves of a generalized (3+ 1)-dimensional shallow water wave equation

S Singh, K Sakkaravarthi, T Tamizhmani… - Physica …, 2022 - iopscience.iop.org
Considering the importance of ever-increasing interest in exploring localized waves, we
investigate a generalized (3+ 1)-dimensional Hirota-Satsuma-Ito equation describing the …

[HTML][HTML] Exact solutions of the different dimensional CBS equations in mathematical physics

SMR Islam, A Akbulut, SMY Arafat - Partial Differential Equations in Applied …, 2022 - Elsevier
The focus of this article is to find the exact traveling wave solutions to Calogero–
Bogoyavlenskii–Schiff (CBS) equation by employing the exp− Φ ζ expansion method. The …

Integrability and multiple kinks, lumps, and breathers solutions to an extended (3+ 1)-dimensional Calogero-Bogoyavlenskii-Schiff fluid model

AM Wazwaz, W Alhejaili, SA El-Tantawy - Physica Scripta, 2024 - iopscience.iop.org
This study focuses on analyzing a newly constructed extended (3+ 1)-dimensional Calogero-
Bogoyavlenskii-Schiff (CBS) fluid model. The Painlevé test is employed to verify the …

[HTML][HTML] Lump solution and lump-type solution to a class of water wave equation

S Liu, Z Yang, A Althobaiti, Y Wang - Results in Physics, 2023 - Elsevier
In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the
most significant and effective areas of research. In this research field, there are many …

[HTML][HTML] The closed-form soliton solutions of the time-fraction phi-four and (2+ 1)-dimensional Calogero–Bogoyavlenskii–Schiff model using the recent approach

M Al-Amin, MN Islam, MA Akbar - Partial Differential Equations in Applied …, 2022 - Elsevier
The Phi-four (PF) model is a variation of the familiar Klein–Fock–Gordon​(KFG) model.
Quantum effects, ultra-short pulse propagation in optical fibers, character of de-Broglie …

Rational Wave Solutions and Dynamics Properties of the Generalized (2+ 1)‐Dimensional Calogero‐Bogoyavlenskii‐Schiff Equation by Using Bilinear Method

L Han, S Bilige, X Wang, M Li… - … in Mathematical Physics, 2021 - Wiley Online Library
Through symbolic computation with Maple, fifty‐seven sets of rational wave solutions to the
generalized Calogero‐Bogoyavlenskii‐Schiff equation are presented by employing the …

Solitary wave dynamics of the extended (2+ 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation

M Sadaf, S Arshed, G Akram, MZ Raza… - Optical and Quantum …, 2024 - Springer
Abstract The extended (2+ 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is
investigated in this study. The extended (2+ 1)-dimensional Calogero–Bogoyavlenskii …

[HTML][HTML] Selective Impact of Dispersion and Nonlinearity on Waves and Solitary Wave in a Strongly Nonlinear and Flattened Waveguide

CRN Tchinda, MNZ Abou, JR Bogning - Open Journal of Applied …, 2024 - scirp.org
The waveguide which is at the center of our concerns in this work is a strongly flattened
waveguide, that is to say characterized by a strong dispersion and in addition is strongly …

Lie symmetry analysis, exact solutions, conservation laws of variable-coefficients Calogero–Bogoyavlenskii–Schiff equation

F Zhang, Y Hu, X Xin, H Liu - International Journal of Geometric …, 2022 - World Scientific
In this paper, a (2+ 1)-dimensional variable-coefficients Calogero–Bogoyavlenskii–Schiff
(vcCBS) equation is studied. The infinitesimal generators and symmetry groups are obtained …