RT journal article
T1 Dynamical Visualization and Qualitative Analysis of the (4+1)-Dimensional KdV-CBS Equation Using Lie Symmetry Analysis
A1 Gandarias Núñez, María Luz
A1 Raza, Nauman
A1 Umair, Muhammad
A1 Almalki, Yahya
A2 Matemáticas
K1 (4+1)-D KdV–CBS equation
K1 generalized exp(-S(χ) ) expansion method
K1 novel solitons
K1 dynamic study of bifurcation and chaotic behavior
K1 sensitivity analysis
AB This study investigates novel optical solitons within the intriguing (4+1)-dimensionalKorteweg–de Vries–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation, which integratesfeatures from both the Korteweg–de Vries and the Calogero–Bogoyavlenskii–Schiff equations.Firstly, all possible symmetry generators are found by applying Lie symmetry analysis.By using these generators, the given model is converted into an ordinary differentialequation. An adaptive approach, the generalized exp(-S(χ)) expansion technique has beenutilized to uncover closed-form solitary wave solutions. The findings reveal a range ofsoliton types, including exponential, rational, hyperbolic, and trigonometric functions,represented as bright, singular, rational, periodic, and new solitary waves. These results areillustrated numerically and accompanied by insightful physical interpretations, enrichingthe comprehension of the complex dynamics modeled by these equations. Our approach’snovelty lies in applying a new methodology to this problem, yielding a variety of noveloptical soliton solutions. Additionally, we employ bifurcation and chaos techniques for aqualitative analysis of the model, extracting a planar system from the original equationand mapping all possible phase portraits. A thorough sensitivity analysis of the governingequation is also presented. These results highlight the effectiveness of our methodology intackling nonlinear problems in both mathematics and engineering, surpassing previousresearch efforts.
PB MDPI
SN 2227-7390
YR 2025
FD 2025
LK http://hdl.handle.net/10498/36423
UL http://hdl.handle.net/10498/36423
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026