Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation

Journal of Mathematical Physics ◽

10.1063/1.4812803 ◽

2013 ◽

Vol 54 (7) ◽

pp. 072901 ◽

Author(s):

Marta Wacławczyk ◽

Martin Oberlack

Keyword(s):

Lie Group ◽

Burgers Equation ◽

Group Analysis ◽

Lie Group Analysis ◽

Functional Formulation

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Response to “Comment on ‘Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation’” [J. Math. Phys. 57, 034102 (2016)]

Journal of Mathematical Physics ◽

10.1063/1.4944424 ◽

2016 ◽

Vol 57 (3) ◽

pp. 034103

Author(s):

Marta Wacławczyk ◽

Martin Oberlack

Keyword(s):

Lie Group ◽

Burgers Equation ◽

Group Analysis ◽

Lie Group Analysis ◽

Functional Formulation ◽

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Comment on “Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation” [J. Math. Phys. 54, 072901 (2013)]

Journal of Mathematical Physics ◽

10.1063/1.4940357 ◽

2016 ◽

Vol 57 (3) ◽

pp. 034102 ◽

Author(s):

Michael Frewer ◽

George Khujadze ◽

Holger Foysi

Keyword(s):

Lie Group ◽

Burgers Equation ◽

Group Analysis ◽

Lie Group Analysis ◽

Functional Formulation ◽

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Lie group analysis of two-dimensional variable-coefficient Burgers equation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-009-0053-8 ◽

2010 ◽

Vol 61 (5) ◽

pp. 793-809 ◽

Author(s):

N. M. Ivanova ◽

C. Sophocleous ◽

R. Tracinà

Keyword(s):

Lie Group ◽

Variable Coefficient ◽

Burgers Equation ◽

Group Analysis ◽

Two Dimensional ◽

Lie Group Analysis ◽

Dimensional Variable

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Lie group analysis, analytic solutions and conservation laws of the (3 + 1)-dimensional Zakharov-Kuznetsov-Burgers equation in a collisionless magnetized electron-positron-ion plasma

The European Physical Journal Plus ◽

10.1140/epjp/i2018-12239-y ◽

2018 ◽

Vol 133 (9) ◽

Author(s):

Xia-Xia Du ◽

Bo Tian ◽

Xiao-Yu Wu ◽

Hui-Min Yin ◽

Chen-Rong Zhang

Keyword(s):

Conservation Laws ◽

Lie Group ◽

Burgers Equation ◽

Group Analysis ◽

Analytic Solutions ◽

Lie Group Analysis ◽

Electron Positron

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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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