Lie Group Analysis of a Forced KdV Equation

Mathematical Problems in Engineering ◽

10.1155/2013/845843 ◽

2013 ◽

Vol 2013 ◽

pp. 1-4 ◽

Author(s):

Motlatsi Molati ◽

Chaudry Masood Khalique

Keyword(s):

Mathematical Model ◽

Shallow Water ◽

Lie Group ◽

Kdv Equation ◽

Group Analysis ◽

Time Dependent ◽

Analysis Approach ◽

External Forcing ◽

Lie Group Analysis ◽

The Korteweg-de Vries (KdV) equation considered in this work contains a forcing term and is referred to as forced KdV equation in the sequel. This equation has been investigated recently as a mathematical model for waves on shallow water surfaces under the influence of external forcing. We employ the Lie group analysis approach to specify the time-dependent forcing term.

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Application of Lie group analysis to a mathematical model which describes HIV transmission

The Geometrical Study of Differential Equations - Contemporary Mathematics ◽

10.1090/conm/285/04728 ◽

2001 ◽

pp. 11-20 ◽

Author(s):

V. Torrisi ◽

M. C. Nucci

Keyword(s):

Mathematical Model ◽

Lie Group ◽

Hiv Transmission ◽

Group Analysis ◽

Lie Group Analysis

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A new time dependent approach for solving electrochemical interfaces Part I: theoretical considerations using lie group analysis

Journal of Mathematical Chemistry ◽

10.1007/s10910-010-9712-4 ◽

2010 ◽

Vol 48 (4) ◽

pp. 856-875 ◽

Author(s):

Alfred Huber

Keyword(s):

Lie Group ◽

Group Analysis ◽

Time Dependent ◽

Lie Group Analysis ◽

Electrochemical Interfaces ◽

Theoretical Considerations ◽

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EFFECTS OF CHEMICAL REACTION AND SLIP IN THE BOUNDARY LAYER OF MHD NANOFLUID FLOW THROUGH A SEMI-INFINITE STRETCHING SHEET WITH THERMOPHORESIS AND BROWNIAN MOTION: THE LIE GROUP ANALYSIS

Nanoscience and Technology An International Journal ◽

10.1615/nanoscitechnolintj.2018025363 ◽

2018 ◽

Vol 9 (1) ◽

pp. 47-68 ◽

Author(s):

Sawan Kumar Rawat ◽

Alok Kumar Pandey ◽

Manoj Kumar

Keyword(s):

Boundary Layer ◽

Brownian Motion ◽

Chemical Reaction ◽

Lie Group ◽

Stretching Sheet ◽

Group Analysis ◽

Lie Group Analysis ◽

Nanofluid Flow ◽

And Brownian Motion ◽

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Lie group analysis of radiation natural convection heat transfer past an inclined porous surface

Journal of Mechanical Science and Technology ◽

10.1007/s12206-008-0622-3 ◽

2008 ◽

Vol 22 (9) ◽

pp. 1779-1784 ◽

Author(s):

J. Lee ◽

P. Kandaswamy ◽

M. Bhuvaneswari ◽

S. Sivasankaran

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Lie Group ◽

Group Analysis ◽

Convection Heat Transfer ◽

Porous Surface ◽

Natural Convection Heat Transfer ◽

Lie Group Analysis ◽

Convection Heat

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Significance of the physical quantities for the non-Newtonian fluid flow in an irregular channel with heat and mass transfer effects: Lie group analysis

Alexandria Engineering Journal ◽

10.1016/j.aej.2021.07.003 ◽

2021 ◽

Author(s):

Musharafa Saleem ◽

Muhammad Nazim Tufail ◽

Qasim Ali Chaudhry

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Newtonian Fluid ◽

Lie Group ◽

Group Analysis ◽

Lie Group Analysis ◽

Transfer Effects ◽

Physical Quantities

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Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110559 ◽

2021 ◽

Vol 144 ◽

pp. 110559

Author(s):

Fei-Yan Liu ◽

Yi-Tian Gao ◽

Xin Yu ◽

Cui-Cui Ding ◽

Gao-Fu Deng ◽

...

Keyword(s):

Fluid Mechanics ◽

Plasma Physics ◽

Lie Group ◽

Group Analysis ◽

Hyperbolic Function ◽

Painlevé Analysis ◽

Lie Group Analysis ◽

Rational Solutions ◽

De Vries ◽

Painleve Analysis

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Lie group analysis of the point-reactor neutron kinetics equations for various reactivity models

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108366 ◽

2021 ◽

Vol 160 ◽

pp. 108366

Author(s):

Patrick F. O’Rourke ◽

Scott D. Ramsey ◽

Brian A. Temple

Keyword(s):

Lie Group ◽

Group Analysis ◽

Reactor Neutron ◽

Lie Group Analysis ◽

Neutron Kinetics

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Lie group analysis of stagnation-point flow of a nanofluid

Microfluidics and Nanofluidics ◽

10.1007/s10404-013-1147-3 ◽

2013 ◽

Vol 15 (2) ◽

pp. 267-274 ◽

Author(s):

Kalidas Das

Keyword(s):

Stagnation Point ◽

Lie Group ◽

Group Analysis ◽

Stagnation Point Flow ◽

Lie Group Analysis

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Lie group analysis for thermal-diffusion and diffusion-thermo effects on free convective flow over a porous stretching surface with variable stream conditions in the presence of thermophoresis particle deposition

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2010.08.003 ◽

2011 ◽

Vol 5 (1) ◽

pp. 20-31 ◽

Author(s):

P. Puvi Arasu ◽

P. Loganathan ◽

R. Kandasamy ◽

I. Muhaimin

Keyword(s):

Lie Group ◽

Convective Flow ◽

Particle Deposition ◽

Group Analysis ◽

Lie Group Analysis ◽

Stretching Surface ◽

Free Convective Flow ◽

Thermophoresis Particle Deposition ◽

And Diffusion ◽

Porous Stretching Surface

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Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01469-x ◽

2021 ◽

Vol 136 (6) ◽

Author(s):

Fei-Yan Liu ◽

Yi-Tian Gao ◽

Xin Yu ◽

Liu-Qing Li ◽

Cui-Cui Ding ◽

...

Keyword(s):

Fluid Mechanics ◽

Plasma Physics ◽

Lie Group ◽

Group Analysis ◽

Analytic Solutions ◽

Lie Group Analysis

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