Results 1 to 10 of about 108,033 (290)
Applying Symmetries to Solving a Nonlinear Acoustics Beam Model [PDF]
Mathematics Interdisciplinary Research, 2022 For an important nonlinear acoustic model, the (2+1)-dimensional Zabolotskaya–Khokhlov(ZK), a symmetry group and the optimal systems of the symmetry subalgebra have been introduced.
Leila Hamedi Mobarra
doaj +1 more source
Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations
European Journal of Mathematical Analysis, 2021 In this paper, we consider coupled Korteweg-de Vries equations that model the propagation of shallow water waves, ion-acoustic waves in plasmas, solitons, and nonlinear perturbations along internal surfaces between layers of different densities in ...
Joseph Owuor Owino, Benard Okelo
doaj +1 more source
Lie symmetry reductions and exact solutions to a generalized two-component Hunter-Saxton system
AIMS Mathematics, 2021 Based on the classical Lie group method, a generalized two-component Hunter-Saxton system is studied in this paper. All of the its geometric vector fields, infinitesimal generators and the commutation relations of Lie algebra are derived.
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj +1 more source
Fractal and Fractional, 2022 In this paper, the extended double (2+1)-dimensional sine-Gorden equation is studied. First of all, using the symmetry method, the corresponding vector fields, Lie algebra and infinitesimal generators are derived. Then, from infinitesimal generators, the
Gangwei Wang, Li Li, Qi Wang, Juan Geng
doaj +1 more source
Alexandria Engineering Journal, 2023 The (3+1)-dimensional generalized Boiti-Leon-Manna-Pempinelli equation, which describes the evolution of Riemann wave propagation in an in-compressible fluid along three mutually perpendicular axes, is investigated in this research article.
Beenish +4 more
doaj +1 more source
Exact solutions of a variable coefficient KdV equation: Power law in time-coefficients
Examples and Counterexamples, 2023 The Lie symmetry analysis of a power law in-time coefficients Korteweg–de Vries (KdV) equation is performed with the aim of specifying the model parameters (powers of t).
Motlatsi Molati
doaj +1 more source
Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj +1 more source
Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
doaj +1 more source
Periodic solutions and symmetry reductions of a generalized Chaffee–Infante equation
Partial Differential Equations in Applied Mathematics, 2023 This paper is devoted to derive periodic solutions of a generalized Chaffee–Infante equation. This will be attained by employing several periodic ansatz methods so as to obtain a variety of exact solutions of distinct physical structures.
I. Humbu +3 more
doaj +1 more source
SU(5) Symmetry of spdfg Interacting Boson Model [PDF]
, 2003 The extended interacting boson model with s-, p-, d-, f- and g-bosons being included (spdfg IBM) are investigated. The algebraic structure including the generators, the Casimir operators of the groups at the SU(5) dynamical symmetry and the branching ...
Gao, Peng, Li, Jing-sheng, Liu, Yu-xin
core +2 more sources