[HTML][HTML] On the dynamics of exact solutions to a (3+ 1)-dimensional YTSF equation emerging in shallow sea waves: Lie symmetry analysis and generalized …
This paper focuses on obtaining a large number of exact solutions to the highly nonlinear
(3+ 1)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) equation, which is important in fluid …
(3+ 1)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) equation, which is important in fluid …
Application of symmetry analysis to viscoelastic fluid model
In the present paper, we apply Lie symmetry to the Suliciu relaxation system governed by
viscoelastic shallow fluid. Utilizing the local symmetries of the governing PDEs, we derive …
viscoelastic shallow fluid. Utilizing the local symmetries of the governing PDEs, we derive …
Resonant multi-wave, positive multi-complexiton, nonclassical Lie symmetries, and conservation laws to a generalized Hirota bilinear equation
This paper explores the evolutionary behavior of some specific waves for a Generalized
Hirota Bilinear (GHB) equation with applications in modern sciences. More precisely, the …
Hirota Bilinear (GHB) equation with applications in modern sciences. More precisely, the …
Symmetry analysis, optimal system, and invariant solutions for a (2+ 1)-dimensional two-phase mass flow model
The paper investigates a two-phase mass flow model governed by gravity, involving solid
particles and a viscous fluid. By utilizing the Lie symmetries admitted by the system …
particles and a viscous fluid. By utilizing the Lie symmetries admitted by the system …
Nonclassical symmetries, nonlinear self-adjointness, conservation laws and some new exact solutions of cylindrical KdV equation
S Sil - International Journal of Applied and Computational …, 2023 - Springer
This paper is devoted to obtain some new exact solutions to the cylindrical KdV equation
using nonclassical symmetry analysis. Classical Lie point symmetries and nonclassical …
using nonclassical symmetry analysis. Classical Lie point symmetries and nonclassical …
On the Lie symmetry analysis of three-dimensional perturbed shear flows
The study presents symmetry classifications of the linearized Navier–Stokes equations,
governing the three-dimensional incompressible plane shear flows. The linearization is …
governing the three-dimensional incompressible plane shear flows. The linearization is …
Lie symmetries and optimal classifications with certain modal approaches for the three-dimensional gas-dynamical equations
This paper is devoted to analyzing the solution framework of the gas-dynamic equations for
a three-dimensional unbounded homentropic sheared flow using the Lie group approach …
a three-dimensional unbounded homentropic sheared flow using the Lie group approach …
Lie symmetry analysis, exact solutions, and conservation laws to multi-component nonlinear Schrödinger equations
YS Bai, YN Liu, WX Ma - Nonlinear Dynamics, 2023 - Springer
The multi-component nonlinear Schrödinger equations (MNLS) are derived by extending the
single-component nonlinear Schrödinger equation to multiple interacting fields. These …
single-component nonlinear Schrödinger equation to multiple interacting fields. These …
Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics
C Sophocleous - Symmetry, 2024 - mdpi.com
Non-Lie reduction operators, also known as nonclassical symmetries, are derived for special
systems that appear in Plasma Physics. These operators are used to construct similarity …
systems that appear in Plasma Physics. These operators are used to construct similarity …
Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas …
The current paper undertakes an in-depth exploration of the dynamics of nonlinear waves
governed by a 3D-modified nonlinear wave equation, a significant model in the study of …
governed by a 3D-modified nonlinear wave equation, a significant model in the study of …