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## Burde, Georgy I.

Compute Distance To:
 Author ID: burde.georgy-i Published as: Burde, Georgy I.; Burde, G. I.
 Documents Indexed: 20 Publications since 1994
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#### Co-Authors

 12 single-authored 3 Zhalij, Alexander 2 Nasibullayev, Ildar Sh 2 Zarmi, Yair 1 Herczynski, Andrzej 1 Sergyeyev, Artur 1 Weidman, Patrick D. 1 Zhaliĭ, O. Yu.
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#### Serials

 3 Journal of Physics A: Mathematical and General 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Physics of Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Physics A: Mathematical and Theoretical 1 Nonlinearity 1 International Journal of Modern Physics D 1 Chaos 1 Foundations of Physics 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Advances and Applications in Fluid Mechanics
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#### Fields

 13 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Topological groups, Lie groups (22-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 52 times in 46 Documents Cited by Year
Ordering of two small parameters in the shallow water wave problem. Zbl 1311.76011
Burde, Georgy I.; Sergyeyev, Artur
2013
New similarity reductions of the steady-state boundary layer equations. Zbl 0914.35095
Burde, Georgy I.
1996
Expanded Lie group transformations and similarity reductions of differential equations. Zbl 1036.35009
Burde, Georgy I.
2002
The construction of special explicit solutions of the boundary-layer equations. Unsteady flows. Zbl 0837.76017
Burde, G. I.
1995
Potential symmetries of the nonlinear wave equation $$u_{tt}=(uu_ x)_ x$$ and related exact and approximate solutions. Zbl 1052.35131
Burde, Georgy I.
2001
Two-fluid jets and wakes. Zbl 1186.76220
Herczynski, Andrzej; Weidman, Patrick D.; Burde, Georgy I.
2004
The construction of special explicit solutions of the boundary-layer equations. Steady flows. Zbl 0806.76019
Burde, G. I.
1994
Solitary wave solutions of the high-order KdV models for bi-directional water waves. Zbl 1221.35327
Burde, Georgy I.
2011
Stability analysis of a class of unsteady nonparallel incompressible flows via separation of variables. Zbl 1182.76100
Burde, Georgy I.; Nasibullayev, Ildar Sh.; Zhalij, Alexander
2007
On the asymptotic solutions of the KdV equation with higher-order corrections. Zbl 1181.35184
Burde, Georgy I.
2005
On the use of the Lie-Bäcklund groups in the context of asymptotic integrability. Zbl 1095.37037
Burde, G. I.
2004
Separation of variables in the hydrodynamic stability equations. Zbl 1122.76028
Zhalij, Alexander; Burde, Georgy I.; Nasibullayev, Ildar Sh
2006
Generalized Kaup-Kupershmidt solitons and other solitary wave solutions of the higher order KdV equations. Zbl 1186.35183
Burde, Georgy I.
2010
Ordering of two small parameters in the shallow water wave problem. Zbl 1311.76011
Burde, Georgy I.; Sergyeyev, Artur
2013
Solitary wave solutions of the high-order KdV models for bi-directional water waves. Zbl 1221.35327
Burde, Georgy I.
2011
Generalized Kaup-Kupershmidt solitons and other solitary wave solutions of the higher order KdV equations. Zbl 1186.35183
Burde, Georgy I.
2010
Stability analysis of a class of unsteady nonparallel incompressible flows via separation of variables. Zbl 1182.76100
Burde, Georgy I.; Nasibullayev, Ildar Sh.; Zhalij, Alexander
2007
Separation of variables in the hydrodynamic stability equations. Zbl 1122.76028
Zhalij, Alexander; Burde, Georgy I.; Nasibullayev, Ildar Sh
2006
On the asymptotic solutions of the KdV equation with higher-order corrections. Zbl 1181.35184
Burde, Georgy I.
2005
Two-fluid jets and wakes. Zbl 1186.76220
Herczynski, Andrzej; Weidman, Patrick D.; Burde, Georgy I.
2004
On the use of the Lie-Bäcklund groups in the context of asymptotic integrability. Zbl 1095.37037
Burde, G. I.
2004
Expanded Lie group transformations and similarity reductions of differential equations. Zbl 1036.35009
Burde, Georgy I.
2002
Potential symmetries of the nonlinear wave equation $$u_{tt}=(uu_ x)_ x$$ and related exact and approximate solutions. Zbl 1052.35131
Burde, Georgy I.
2001
New similarity reductions of the steady-state boundary layer equations. Zbl 0914.35095
Burde, Georgy I.
1996
The construction of special explicit solutions of the boundary-layer equations. Unsteady flows. Zbl 0837.76017
Burde, G. I.
1995
The construction of special explicit solutions of the boundary-layer equations. Steady flows. Zbl 0806.76019
Burde, G. I.
1994
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#### Cited by 76 Authors

 7 Abd-el-Malek, Mina B. 6 Hassan, Hossam S. 5 Badran, Nagwa A. 4 Karczewska, Anna 4 Rozmej, Piotr 3 Boutros, Youssef Zaki 3 Burde, Georgy I. 3 Sergyeyev, Artur 2 Abbas, Heba H. 2 Andersson, Helge I. 2 Broadbridge, Philip 2 Hutchinson, A. J. 2 Mason, David Paul 2 Mukhopadhyay, Swati 2 Popovych, Roman O. 1 Ahmad, Aijaz 1 Aksenov, Aleksandr Vasil’evich 1 Bihlo, Alexander 1 Bîlă, Nicoleta Virginia 1 Bluman, George W. 1 Boguniewicz, Bartosz 1 Bokhari, Ashfaque H. 1 Burdeh, G. I. 1 Cheviakov, Alexei F. 1 da Silva, Priscila Leal 1 Dai, Weizhong 1 Edelstein, Rochelle M. 1 Fokou, M. 1 Freire, Igor Leite 1 Gaitonde, Datta V. 1 Goard, Joanna M. 1 Govinder, Keshlan Sathasiva 1 Helal, Medhat M. 1 Infeld, Eryk 1 Kara, Abdul Hamid 1 King, John Robert 1 Kofané, Timoléon Crépin 1 Kolomenskiy, Dmitry 1 Kozyrev, A. A. 1 Lauret, Jorge 1 Leach, Peter Gavin Lawrence 1 Liao, Shijun 1 Lin, Jianzhong 1 Mahomed, Fazal M. 1 Mansour, A. A. 1 Moffatt, Henry Keith 1 Mohamadou, Alidou 1 Nasibullayev, Ildar Sh 1 Niu, Xiaohua 1 Opanasenko, Stanislav 1 Pan, Zuliang 1 Pocheketa, Oleksandr A. 1 Pop, Ioan 1 Pucci, Edvige 1 Rowlands, George 1 Saccomandi, Giuseppe 1 Shao, Xueming 1 Sinkala, Winter 1 Sophocleous, Christodoulos 1 Szczeciński, Maciej 1 Tian, Lixin 1 Tilley, Burt S. 1 Unnikrishnan, Sanil 1 Vaneeva, Olena O. 1 Vladimirov, Vsevolod A. 1 Vodová-Jahnová, Jiřina 1 Wang, Xiaofeng 1 Ward, Michael J. 1 Weidman, Patrick D. 1 Xing, Qianqian 1 Xu, Hang 1 Yin, Jiuli 1 Yomba, Emmanuel 1 Yu, Zhaosheng 1 Zaman, Fiazud Din 1 Zhalij, Alexander
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#### Cited in 33 Serials

 4 Nonlinear Analysis. Real World Applications 3 Applied Mathematics and Computation 3 Communications in Nonlinear Science and Numerical Simulation 2 Acta Mechanica 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Meccanica 2 Physica D 2 Applied Mathematical Modelling 1 Journal of Applied Mathematics and Mechanics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Quaestiones Mathematicae 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 Applied Mathematics. Series B (English Edition) 1 Physics of Fluids 1 Computational and Applied Mathematics 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Chaos 1 European Journal of Mechanics. B. Fluids 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Modern Physics C 1 Journal of Zhejiang University. Science A 1 Mathematics in Computer Science 1 Advances in Mathematical Physics 1 Journal of Mathematics
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#### Cited in 17 Fields

 29 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)