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Lie symmetry analysis, multiple exp-function method and conservation laws for the (2+1)-dimensional Boussinesq equation
In this study, we take into account the (2 + 1)-dimensional Boussinesq equation, a nonlinear evolution partial differential equation that describes...
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Lie symmetry analysis of cubic–quartic optical solitons having cubic–quintic–septic–nonic form of self-phase modulation structure
The present study examines optical solitons characterized by cubic–quartic dynamics and featuring a self-phase modulation structure encompassing...
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Lie symmetry analysis and conservation laws with soliton solutions to a nonlinear model related to chains of atoms
We present the Lie symmetry analysis for the famous nonlinear equation describing chains of atoms with long range interaction. We also study the...
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Investigate the dynamics of lie symmetry, bifurcation and sensitivity analysis to the (4 + 1)-dimensional Fokas model
In this paper, the nonlinear (4 + 1)-dimensional Fokas model is studied and its dynamic character is predicted. This inquiry aims to accomplish two...
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Lie symmetry analysis, optimal system and exact solutions for a NLPDE from the reduced quasi-classical self-dual Yang–Mills equation
In this paper, the classical Lie group method is employed to obtain exact solutions for a nonlinear partial differential equation (NLPDE) derived...
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Extended Lie symmetry approach for mixed fractional derivatives of magneto-electro-elastic circular rod: innovative reduction, conservation laws, optical solitons and bifurcation analysis
The central objective of this study is to examine how the Lie symmetry technique and conservation law theories can be employed to analyze fractional...
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The conserved vectors and solitonic propagating wave patterns formation with Lie symmetry infinitesimal algebra
In this study, the generalized perturbed-KdV partial differential equation is examined. Furthermore, symmetry generators address the Lie invariance...
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Implicit quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion and power–law of self–phase modulation by Lie symmetry
The focus of this paper lies in uncovering implicit quiescent optical solitons within a concatenation model. This model is characterized by nonlinear...
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Implicit quiescent optical solitons for the concatenation model with Kerr law nonlinearity and nonlinear chromatic dispersion by Lie symmetry
This study addresses the recovery of implicit quiescent optical solitons derived from the concatenation model. This model is characterized by the...
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Implicit quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion and in absence of self-phase modulation by lie symmetry
This paper delves into the recovery and analysis of stable and localized optical waveforms (solitons) within a concatenated optical system...
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Implicit quiescent optical solitons For Lakshmanan–Porsezian–Daniel model having nonlinear chromatic dispersion and power-law of self-phase modulation by lie symmetry
This paper recovers implicit quiescent optical solitons for the Lakshmanan–Porsezian–Daniel equation that is studied with nonlinear chromatic...
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Lie symmetry approach to the time-dependent Karmarkar condition
We obtain solutions of the time-dependent Einstein Field Equations which satisfy the Karmarkar condition via the method of Lie symmetries....
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Discussion on couple of nonlinear models for lie symmetry analysis, self adjointees, conservation laws and soliton solutions
In this article, we will mainly focus on finding the Lie symmetries of a couple of models like the famous generalized mixed nonlinear Schrödinger...
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Spontaneous Symmetry Breaking
The roots of the modern understanding of symmetries in physics can be traced to the work of Sophus Lie on transformations of differential equations...
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Lie group analysis of the general Karmarkar condition
The Karmarkar embedding condition in different spherically symmetrical metrics is studied in general using Lie symmetries. In this study, the Lie...
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Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation
AbstractWe use the method of Lie symmetry analysis to investigate the properties of a (2+1)-dimensional KdV–mKdV equation. Using the Ibragimov...
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Lie group analysis method for wall climbing robot systems
The motion of wall climbing robot can be regarded as the motion of gecko like crawling. Its motion can be decomposed into the motion of limbs driving...
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Dispersionless Davey–Stewartson system: Lie symmetry algebra, symmetry group and exact solutions
Lie symmetry algebra of the dispersionless Davey–Stewartson (dDS) system is shown to be infinite dimensional. The structure of the algebra turns out...
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Polar form of Dirac fields: implementing symmetries via Lie derivative
We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: By using the polar decomposition we acquire the mean to...
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Generalized symmetries as homotopy Lie algebras
Homotopy Lie algebras are a generalization of differential graded Lie algebras encoding both the kinematics and dynamics of a given field theory....