## Cherniha, Roman M.

Compute Distance To:
 Author ID: cherniha.roman-m Published as: Cherniha, Roman; Cherniha, R. M.; Cherniga, R. M.; Cherniha, Roman M.; Cherniha, R. more...less Homepage: http://www.nottingham.ac.uk/mathematics/people/roman.cherniha
 Documents Indexed: 85 Publications since 1983, including 2 Books Co-Authors: 26 Co-Authors with 63 Joint Publications 391 Co-Co-Authors
all top 5

### Co-Authors

 22 single-authored 12 Serov, Mykola I. 9 Davydovych, Vasyl’ 7 King, John Robert 7 Pliukhin, Oleksii 5 Fushchych, Vil’gel’m Illich 5 Kovalenko, Sergii 3 Cherniha, N. D. 3 Didovych, Maksym 3 Waniewski, Jacek 2 Davydovych, V. V. 2 Henkel, Malte 2 Myroniuk, Liliia 1 Chopyk, Volodymyr 1 Dutka, V. A. 1 Dutka, Vasyl’ 1 Fehribach, Joseph D. 1 Gozak, Kateryna 1 Muzyka, Liliia 1 Myronyuk, L. P. 1 Odnorozhenko, I. G. 1 Omel’yan, Olga M. 1 Popovych, Roman O. 1 Prystavka, Yulia 1 Rassokha, Inna V. 1 Stachowska-Piȩtka, Joanna 1 Wilhelmsson, Hans
all top 5

### Serials

 9 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Mathematical Analysis and Applications 8 Ukraïns’kyĭ Matematychnyĭ Zhurnal 8 Journal of Physics A: Mathematical and General 7 Journal of Physics A: Mathematical and Theoretical 4 Reports on Mathematical Physics 4 Symmetry 3 Ukrainian Mathematical Journal 3 European Journal of Applied Mathematics 3 Journal of Nonlinear Mathematical Physics 2 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 IMA Journal of Applied Mathematics 1 Applied Mathematics and Computation 1 Mathematical and Computer Modelling 1 Dopovidi Akademiï Nauk Ukraïni 1 Journal of Mathematical Sciences (New York) 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 International Journal of Applied Mathematics and Computer Science 1 Miskolc Mathematical Notes 1 Lecture Notes in Mathematics 1 Journal of Physical Mathematics 1 Monographs and Research Notes in Mathematics
all top 5

### Fields

 83 Partial differential equations (35-XX) 30 Global analysis, analysis on manifolds (58-XX) 16 Biology and other natural sciences (92-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Topological groups, Lie groups (22-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 2 Nonassociative rings and algebras (17-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

65 Publications have been cited 471 times in 208 Documents Cited by Year
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
1998
Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations. Zbl 1184.35015
Cherniha, Roman; Serov, Mykola; Rassokha, Inna
2008
Lie symmetries of nonlinear multidimensional reaction-diffusion systems. II. Zbl 1059.35058
Cherniha, Roman; King, John R.
2003
Lie symmetries of nonlinear multidimensional reaction-diffusion systems. I. Zbl 0947.35026
Cherniha, Roman; King, John R.
2000
Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions. Zbl 1073.35115
Cherniha, Roman; King, John R.
2005
New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations. Zbl 0930.35033
Cherniha, Roman M.
1998
Nonlinear reaction-diffusion-convection. Lie and conditional symmetry, exact solutions, and their applications. Zbl 1403.35002
Cherniha, Roman; Serov, Mykola; Pliukhin, Oleksii
2018
New $$Q$$-conditional symmetries and exact solutions of some reaction-diffusion-convection equations arising in mathematical biology. Zbl 1160.35031
Cherniha, Roman
2007
Nonlinear reaction-diffusion systems. Conditional symmetry, exact solutions and their applications in biology. Zbl 1391.35003
Cherniha, Roman; Davydovych, Vasyl’
2017
The exotic conformal Galilei algebra and nonlinear partial differential equations. Zbl 1197.35017
Cherniha, Roman; Henkel, Malte
2010
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. Zbl 1128.35358
Cherniha, Roman; Pliukhin, Oleksii
2007
New ansätze and exact solutions for nonlinear reaction-diffusion equations arising in mathematical biology. Zbl 0954.35038
Cherniha, R. M.
1997
Exact and numerical solutions of the generalized Fisher equation. Zbl 0982.35025
Cherniha, Roman; Dutka, Vasyl’
2001
Exact solutions of a class of nonlinear boundary value problems with moving boundaries. Zbl 0811.65125
Cherniha, R. M.; Cherniha, N. D.
1993
The Galilean relativistic principle and nonlinear partial differential equations. Zbl 0613.35060
Fushchich, W. I.; Cherniga, R. M.
1985
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. Zbl 1228.35120
Cherniha, Roman; Davydovych, Vasyl’
2011
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. II. Zbl 1133.35309
Cherniha, Roman; Serov, Mykola
2006
Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems. Zbl 1206.35021
Cherniha, Roman
2010
Galilei-invariant nonlinear systems of evolution equations. Zbl 0868.35109
Fushchych, Wilhelm I.; Cherniha, Roman M.
1995
On nonlinear partial differential equations with an infinite-dimensional conditional symmetry. Zbl 1061.35088
Cherniha, Roman; Henkel, Malte
2004
Nonlinear systems of the Burgers-type equations: Lie and $$Q$$-conditional symmetries, ansätze and solutions. Zbl 1073.35192
Cherniha, Roman; Serov, Mykola
2003
New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities. Zbl 1145.35354
Cherniha, Roman; Pliukhin, Oleksii
2008
Addendum: “Lie symmetries of nonlinear multidimensional reaction-diffusion systems. I. ”. Zbl 0978.35018
Cherniha, Roman; King, John R.
2000
Lie symmetries of nonlinear boundary value problems. Zbl 1387.35111
Cherniha, Roman; Kovalenko, Sergii
2012
Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities. Zbl 1248.35012
Cherniha, Roman; Davydovych, Vasyl’
2012
Lie symmetries and conservation laws of nonlinear multidimensional reaction-diffusion systems with variable diffusivities. Zbl 1122.35053
Cherniha, Roman; King, John R.
2006
Exact solutions of nonlinear boundary value problems of the Stefan type. Zbl 1179.80039
Cherniha, Roman; Kovalenko, Sergii
2009
New conditional symmetries and exact solutions of reaction-diffusion-convection equations with exponential nonlinearities. Zbl 1286.35012
Cherniha, Roman; Pliukhin, Oleksii
2013
A constructive method for obtaining new exact solutions of nonlinear evolution equations. Zbl 0900.35067
Cherniha, Roman M.
1996
Lie symmetries and exact solutions of a class of thin film equations. Zbl 1264.74156
Cherniha, Roman; Myroniuk, Liliia
2010
Exact solutions of the simplified Keller-Segel model. Zbl 1329.35167
Cherniha, Roman; Didovych, Maksym
2013
A complete classification of the Lie symmetries for systems of nonlinear two-dimensional Laplace equations. Zbl 1003.35022
Popovych, R. O.; Cherniha, R. M.
2001
Lie and conditional symmetries of the three-component diffusive Lotka-Volterra system. Zbl 1270.35029
Cherniha, Roman; Davydovych, Vasyl’
2013
Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. I. Zbl 0702.35232
Fushchich, V. I.; Cherniga, R. M.
1989
Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma. Zbl 0982.76577
Cherniha, R. M.; Wilhelmsson, H.
1996
Lie symmetries of nonlinear two-dimensional reaction-diffusion systems. Zbl 0977.35062
Cherniha, Roman
2000
Lie and conditional symmetries of a class of nonlinear (1 + 2)-dimensional boundary value problems. Zbl 1375.35019
Cherniha, Roman; King, John R.
2015
New exact solutions of a nonlinear cross-diffusion system. Zbl 1166.35336
Cherniha, Roman; Myroniuk, Liliia
2008
Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. II. Zbl 0773.35073
Fushchich, V. I.; Cherniga, R. M.
1989
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity. Zbl 1470.35012
Cherniha, Roman; King, John R.; Kovalenko, Sergii
2016
Nonlinear reaction-diffusion systems with a non-constant diffusivity: conditional symmetries in no-go case. Zbl 1410.35060
Cherniha, Roman; Davydovych, Vasyl’
2015
Lie symmetries and reductions of multi-dimensional boundary value problems of the Stefan type. Zbl 1230.35009
Cherniha, Roman; Kovalenko, Sergii
2011
Lie symmetries and exact solutions of nonlinear heat equations with convection term. Zbl 0936.35042
Serov, M. I.; Cherniha, R. M.
1997
Lie and non-Lie symmetries of nonlinear diffusion equations with convection term. Zbl 0948.35023
Cherniha, Roman; Serov, Mykola
1997
Nonlinear Galilei-invariant PDEs with infinite-dimensional Lie symmetry. Zbl 0966.35059
Cherniha, Roman M.
2001
New exact solutions for a free boundary system. Zbl 0905.35099
Cherniha, Roman M.; Fehribach, Joseph D.
1998
A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations. Zbl 1452.35211
Cherniha, Roman; Serov, Mykola; Prystavka, Yulia
2021
Application of a constructive method for the construction of non-Lie solutions of nonlinear evolution equations. Zbl 0932.35032
Cherniga, R. M.
1997
Exact solutions of the multi-dimensional Schrödinger equation with a critical nonlinearity. Zbl 1004.35109
Cherniha, R. M.
2001
Nonlinear evolution equations with exponential non-linearities: conditional symmetries and exact solutions. Zbl 1244.35070
Cherniha, Roman; Pliukhin, Oleksii
2011
Lie symmetries of the Shigesada-Kawasaki-Teramoto system. Zbl 1485.35259
Cherniha, Roman; Davydovych, Vasyl’; Muzyka, Liliia
2017
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation. Zbl 1430.91064
Cherniha, R. M.; Davydovych, V. V.
2019
Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations. Zbl 1319.35087
Cherniha, Roman; Davydovych, Vasyl’
2014
Lie and $$Q$$-conditional symmetries of reaction-diffusion-convection equations with exponential nonlinearities and their application for finding exact solutions. Zbl 1423.35195
Cherniha, Roman; Serov, Mykola; Pliukhin, Oleksii
2018
A $$(1+2)$$-dimensional Keller-Segel model: Lie symmetry and exact solutions for the Cauchy problem. Zbl 1403.35182
Cherniha, Roman; Didovych, Maksym
2015
On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals. Zbl 0948.60035
Cherniha, R. M.
1998
Galilean-invariant nonlinear PDEs and their exact solutions. Zbl 0937.35015
Cherniha, R. M.
1995
Exact and numerical solutions of a spatially-distributed mathematical model for fluid and solute transport in peritoneal dialysis. Zbl 1373.35237
Cherniha, Roman; Gozak, Kateryna; Waniewski, Jacek
2016
Conditional symmetries for boundary value problems: new definition and its application for nonlinear problems with Neumann conditions. Zbl 1299.22009
Cherniha, Roman
2013
Exact solutions of a mathematical model for fluid transport in peritoneal dialysis. Zbl 1113.35146
Cherniha, R.; Waniewski, J.
2005
A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis. Zbl 1309.93022
Cherniha, Roman; Stachowska-Piętka, Joanna; Waniewski, Jacek
2014
New exact solutions of nonlinear reaction-diffusion equations. Zbl 0961.35069
Cherniha, Roman M.
1998
Linearization of systems of nonlinear diffusion equations by means of nonlocal transformations. Zbl 1079.35521
Serov, M. I.; Omelyan, O. M.; Cherniha, R. M.
2004
Diffusive Lotka-Volterra system: Lie symmetries, exact and numerical solutions. Zbl 1150.35446
Cherniga, R. M.; Dutka, V. A.
2004
Nonlinear convection-diffusion systems: Lie and $$Q$$-conditional symmetries. Zbl 1038.58046
Cherniha, Roman; Serov, Mykola
2002
A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations. Zbl 1452.35211
Cherniha, Roman; Serov, Mykola; Prystavka, Yulia
2021
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation. Zbl 1430.91064
Cherniha, R. M.; Davydovych, V. V.
2019
Nonlinear reaction-diffusion-convection. Lie and conditional symmetry, exact solutions, and their applications. Zbl 1403.35002
Cherniha, Roman; Serov, Mykola; Pliukhin, Oleksii
2018
Lie and $$Q$$-conditional symmetries of reaction-diffusion-convection equations with exponential nonlinearities and their application for finding exact solutions. Zbl 1423.35195
Cherniha, Roman; Serov, Mykola; Pliukhin, Oleksii
2018
Nonlinear reaction-diffusion systems. Conditional symmetry, exact solutions and their applications in biology. Zbl 1391.35003
Cherniha, Roman; Davydovych, Vasyl&rsquo;
2017
Lie symmetries of the Shigesada-Kawasaki-Teramoto system. Zbl 1485.35259
Cherniha, Roman; Davydovych, Vasyl&rsquo;; Muzyka, Liliia
2017
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity. Zbl 1470.35012
Cherniha, Roman; King, John R.; Kovalenko, Sergii
2016
Exact and numerical solutions of a spatially-distributed mathematical model for fluid and solute transport in peritoneal dialysis. Zbl 1373.35237
Cherniha, Roman; Gozak, Kateryna; Waniewski, Jacek
2016
Lie and conditional symmetries of a class of nonlinear (1 + 2)-dimensional boundary value problems. Zbl 1375.35019
Cherniha, Roman; King, John R.
2015
Nonlinear reaction-diffusion systems with a non-constant diffusivity: conditional symmetries in no-go case. Zbl 1410.35060
Cherniha, Roman; Davydovych, Vasyl&rsquo;
2015
A $$(1+2)$$-dimensional Keller-Segel model: Lie symmetry and exact solutions for the Cauchy problem. Zbl 1403.35182
Cherniha, Roman; Didovych, Maksym
2015
Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations. Zbl 1319.35087
Cherniha, Roman; Davydovych, Vasyl&rsquo;
2014
A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis. Zbl 1309.93022
Cherniha, Roman; Stachowska-Piętka, Joanna; Waniewski, Jacek
2014
New conditional symmetries and exact solutions of reaction-diffusion-convection equations with exponential nonlinearities. Zbl 1286.35012
Cherniha, Roman; Pliukhin, Oleksii
2013
Exact solutions of the simplified Keller-Segel model. Zbl 1329.35167
Cherniha, Roman; Didovych, Maksym
2013
Lie and conditional symmetries of the three-component diffusive Lotka-Volterra system. Zbl 1270.35029
Cherniha, Roman; Davydovych, Vasyl&rsquo;
2013
Conditional symmetries for boundary value problems: new definition and its application for nonlinear problems with Neumann conditions. Zbl 1299.22009
Cherniha, Roman
2013
Lie symmetries of nonlinear boundary value problems. Zbl 1387.35111
Cherniha, Roman; Kovalenko, Sergii
2012
Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities. Zbl 1248.35012
Cherniha, Roman; Davydovych, Vasyl&rsquo;
2012
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. Zbl 1228.35120
Cherniha, Roman; Davydovych, Vasyl&rsquo;
2011
Lie symmetries and reductions of multi-dimensional boundary value problems of the Stefan type. Zbl 1230.35009
Cherniha, Roman; Kovalenko, Sergii
2011
Nonlinear evolution equations with exponential non-linearities: conditional symmetries and exact solutions. Zbl 1244.35070
Cherniha, Roman; Pliukhin, Oleksii
2011
The exotic conformal Galilei algebra and nonlinear partial differential equations. Zbl 1197.35017
Cherniha, Roman; Henkel, Malte
2010
Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems. Zbl 1206.35021
Cherniha, Roman
2010
Lie symmetries and exact solutions of a class of thin film equations. Zbl 1264.74156
Cherniha, Roman; Myroniuk, Liliia
2010
Exact solutions of nonlinear boundary value problems of the Stefan type. Zbl 1179.80039
Cherniha, Roman; Kovalenko, Sergii
2009
Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations. Zbl 1184.35015
Cherniha, Roman; Serov, Mykola; Rassokha, Inna
2008
New conditional symmetries and exact solutions of reaction-diffusion systems with power diffusivities. Zbl 1145.35354
Cherniha, Roman; Pliukhin, Oleksii
2008
New exact solutions of a nonlinear cross-diffusion system. Zbl 1166.35336
Cherniha, Roman; Myroniuk, Liliia
2008
New $$Q$$-conditional symmetries and exact solutions of some reaction-diffusion-convection equations arising in mathematical biology. Zbl 1160.35031
Cherniha, Roman
2007
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. Zbl 1128.35358
Cherniha, Roman; Pliukhin, Oleksii
2007
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. II. Zbl 1133.35309
Cherniha, Roman; Serov, Mykola
2006
Lie symmetries and conservation laws of nonlinear multidimensional reaction-diffusion systems with variable diffusivities. Zbl 1122.35053
Cherniha, Roman; King, John R.
2006
Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions. Zbl 1073.35115
Cherniha, Roman; King, John R.
2005
Exact solutions of a mathematical model for fluid transport in peritoneal dialysis. Zbl 1113.35146
Cherniha, R.; Waniewski, J.
2005
On nonlinear partial differential equations with an infinite-dimensional conditional symmetry. Zbl 1061.35088
Cherniha, Roman; Henkel, Malte
2004
Linearization of systems of nonlinear diffusion equations by means of nonlocal transformations. Zbl 1079.35521
Serov, M. I.; Omelyan, O. M.; Cherniha, R. M.
2004
Diffusive Lotka-Volterra system: Lie symmetries, exact and numerical solutions. Zbl 1150.35446
Cherniga, R. M.; Dutka, V. A.
2004
Lie symmetries of nonlinear multidimensional reaction-diffusion systems. II. Zbl 1059.35058
Cherniha, Roman; King, John R.
2003
Nonlinear systems of the Burgers-type equations: Lie and $$Q$$-conditional symmetries, ansätze and solutions. Zbl 1073.35192
Cherniha, Roman; Serov, Mykola
2003
Nonlinear convection-diffusion systems: Lie and $$Q$$-conditional symmetries. Zbl 1038.58046
Cherniha, Roman; Serov, Mykola
2002
Exact and numerical solutions of the generalized Fisher equation. Zbl 0982.35025
Cherniha, Roman; Dutka, Vasyl&rsquo;
2001
A complete classification of the Lie symmetries for systems of nonlinear two-dimensional Laplace equations. Zbl 1003.35022
Popovych, R. O.; Cherniha, R. M.
2001
Nonlinear Galilei-invariant PDEs with infinite-dimensional Lie symmetry. Zbl 0966.35059
Cherniha, Roman M.
2001
Exact solutions of the multi-dimensional Schrödinger equation with a critical nonlinearity. Zbl 1004.35109
Cherniha, R. M.
2001
Lie symmetries of nonlinear multidimensional reaction-diffusion systems. I. Zbl 0947.35026
Cherniha, Roman; King, John R.
2000
Addendum: “Lie symmetries of nonlinear multidimensional reaction-diffusion systems. I. ”. Zbl 0978.35018
Cherniha, Roman; King, John R.
2000
Lie symmetries of nonlinear two-dimensional reaction-diffusion systems. Zbl 0977.35062
Cherniha, Roman
2000
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Zbl 0922.35033
Cherniha, Roman; Serov, Mykola
1998
New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations. Zbl 0930.35033
Cherniha, Roman M.
1998
New exact solutions for a free boundary system. Zbl 0905.35099
Cherniha, Roman M.; Fehribach, Joseph D.
1998
On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals. Zbl 0948.60035
Cherniha, R. M.
1998
New exact solutions of nonlinear reaction-diffusion equations. Zbl 0961.35069
Cherniha, Roman M.
1998
New ansätze and exact solutions for nonlinear reaction-diffusion equations arising in mathematical biology. Zbl 0954.35038
Cherniha, R. M.
1997
Lie symmetries and exact solutions of nonlinear heat equations with convection term. Zbl 0936.35042
Serov, M. I.; Cherniha, R. M.
1997
Lie and non-Lie symmetries of nonlinear diffusion equations with convection term. Zbl 0948.35023
Cherniha, Roman; Serov, Mykola
1997
Application of a constructive method for the construction of non-Lie solutions of nonlinear evolution equations. Zbl 0932.35032
Cherniga, R. M.
1997
A constructive method for obtaining new exact solutions of nonlinear evolution equations. Zbl 0900.35067
Cherniha, Roman M.
1996
Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma. Zbl 0982.76577
Cherniha, R. M.; Wilhelmsson, H.
1996
Galilei-invariant nonlinear systems of evolution equations. Zbl 0868.35109
Fushchych, Wilhelm I.; Cherniha, Roman M.
1995
Galilean-invariant nonlinear PDEs and their exact solutions. Zbl 0937.35015
Cherniha, R. M.
1995
Exact solutions of a class of nonlinear boundary value problems with moving boundaries. Zbl 0811.65125
Cherniha, R. M.; Cherniha, N. D.
1993
Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. I. Zbl 0702.35232
Fushchich, V. I.; Cherniga, R. M.
1989
Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. II. Zbl 0773.35073
Fushchich, V. I.; Cherniga, R. M.
1989
The Galilean relativistic principle and nonlinear partial differential equations. Zbl 0613.35060
Fushchich, W. I.; Cherniga, R. M.
1985
all top 5

### Cited by 274 Authors

 26 Journal of Mathematical Analysis and Applications 21 Communications in Nonlinear Science and Numerical Simulation 15 Journal of Mathematical Physics 14 Applied Mathematics and Computation 14 Symmetry 7 Reports on Mathematical Physics 7 Ukrainian Mathematical Journal 4 Acta Applicandae Mathematicae 4 Journal of Mathematical Sciences (New York) 3 Computers & Mathematics with Applications 3 Chaos, Solitons and Fractals 3 Applied Mathematics Letters 3 Journal of Mathematical Chemistry 3 Journal of Nonlinear Mathematical Physics 3 Nonlinear Analysis. Real World Applications 3 Advances in Mathematical Physics 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Studies in Applied Mathematics 2 Mathematical and Computer Modelling 2 Computational and Applied Mathematics 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Lobachevskii Journal of Mathematics 2 Differential Equations 2 Advances in Differential Equations and Control Processes 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 General Relativity and Gravitation 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Ricerche di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 Applied Mathematical Modelling 1 Russian Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Engineering Analysis with Boundary Elements 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 International Journal of Applied Mathematics and Computer Science 1 Applied Sciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Matematicheskoe Modelirovanie 1 Journal of the Indonesian Mathematical Society 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 Acta Mechanica Sinica 1 Nonlinear Oscillations 1 Mathematics in Computer Science 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Differential Equations and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Journal of Mathematics 1 Computational Methods for Differential Equations 1 Applied Mathematics and Nonlinear Sciences
 168 Partial differential equations (35-XX) 25 Biology and other natural sciences (92-XX) 24 Global analysis, analysis on manifolds (58-XX) 17 Fluid mechanics (76-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Numerical analysis (65-XX) 16 Quantum theory (81-XX) 15 Nonassociative rings and algebras (17-XX) 15 Ordinary differential equations (34-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Topological groups, Lie groups (22-XX) 5 Mechanics of deformable solids (74-XX) 4 Mechanics of particles and systems (70-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 $$K$$-theory (19-XX) 2 Real functions (26-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)