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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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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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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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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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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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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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Optimal system, dynamical behaviors and exact solution of a nonlinear transmission line model by applying the Lie symmetry method
Transmission lines are used for purposes such as connecting radio transmitters and receivers with their antennas, distributing cable television...
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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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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 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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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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Lie groups, singularities and solutions of nonlinear partial differential equations
It is shown how Lie group and Lie algebra theory can be used to solve partial differential equations. A method for calculating the symmetry group of...
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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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An Extended (2 + 1)-dimensional Coupled Burgers System in Fluid Mechanics: Symmetry Reductions; Kudryashov Method; Conservation Laws
The Burgers-type equations are noticed in plasma astrophysics, ocean dynamics, atmospheric science, computational fluid mechanics, cosmology,...
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Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations
In this course, we present an elementary introduction, including the proofs of the main theorems, to the theory of Lie bialgebras and Poisson Lie...
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Novel angular evaluation method for radiation field using Lie derivative
In radiotherapy, quality assurance (QA) for beam delivery from linear accelerator (linac) of treatment machine is a highly crucial factor for...
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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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Lie symmetry transformation, conservation laws and nonlinear self-adjointness of (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation
In the present letter, we have derived some group invariant solutions of (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation (DJKM). Using the Lie...
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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....
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Symmetry adapted basis functions for the transition metal complex tetracyanonickelate using the eigenfunction method
In this work we obtain the symmetrised basis functions using the eigenfunction method by taking an example of transition metal complex...
