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Dodd, Roger K.

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Author ID: dodd.roger-k Recent zbMATH articles by "Dodd, Roger K."
Published as: Dodd, R.; Dodd, R. K.; Dodd, Roger; Dodd, Roger K.
Documents Indexed: 41 Publications since 1976, including 1 Book

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 653 times in 621 Documents Cited by Year
Solitons and nonlinear wave equations. Zbl 0496.35001
Dodd, R. K.; Eilbeck, J. C.; Gibbon, J. D.; Morris, H. C.
407
1982
A new hierarchy of Korteweg-de Vries equations. Zbl 0346.35024
Caudrey, P. J.; Dodd, R. K.; Gibbon, J. D.
100
1976
The prolongation structures of quasi-polynomial flows. Zbl 0542.35069
Dodd, R.; Fordy, A.
30
1983
Bäcklund transformations for the sine-Gordon equations. Zbl 0353.35063
Dodd, R. K.; Bullough, R. K.
26
1976
The prolongation structure of a higher order Korteweg-de Vries equation. Zbl 0376.35009
Dodd, R. K.; Gibbon, J. D.
25
1978
Snap-back repellers and chaos in a discrete population model with delayed recruitment. Zbl 0558.92010
Morris, H. C.; Ryan, E. E.; Dodd, R. K.
14
1983
The two-component derivative nonlinear Schrödinger equation. Zbl 1063.81549
Morris, H. C.; Dodd, R. K.
10
1979
Periodic solutions and chaos in a delay-differential equation modelling haematopoesis. Zbl 0572.92009
Morris, H. C.; Ryan, E. E.; Dodd, R. K.
8
1983
Prolongation structures of complex quasi-polynomial evolution equations. Zbl 0575.35082
Dodd, Roger K.; Fordy, Allan P.
7
1984
Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model. Zbl 0866.92017
Dodd, R. K.
5
1997
The prolongation structures of a class of nonlinear evolution equations. Zbl 0384.35051
Dodd, R. K.; Gibbon, J. D.
4
1978
Soliton immersions. Zbl 0942.53005
Dodd, R. K.
2
1998
Fundamental representations of the m-principal realization of \(gl_{\infty}\). Zbl 0716.17021
Dodd, R. K.
2
1990
Factorisation of Bäcklund transformations. Zbl 0697.35136
Dodd, R. K.
2
1988
Linear deformation problems for the Ernst equation. Zbl 0489.53035
Dodd, R. K.; Morris, H. C.
2
1982
The generalised Marchenko equation and the canonical structure of the AKNS-ZS inverse method. Zbl 1063.37560
Dodd, R. K.; Bullough, R. K.
2
1979
Generalised Bäcklund transformation for some non-linear partial differential-difference equations. Zbl 0368.35058
Dodd, R. K.
2
1978
Equivalent Hirota bilinearisations. Zbl 0940.17015
Dodd, R. K.
1
1998
The general prolongation formulae for nonlocal symmetries. Zbl 0941.58504
Dodd, R. K.
1
1994
Infinite dimensional Lie algebras and the direct determination of deformation problems for equations of Painlevé type. Zbl 0547.34008
Morris, H. C.; Dodd, R. K.
1
1983
Bäcklund transformations. Zbl 0475.58002
Dodd, R. K.; Morris, H. C.
1
1980
Prolongation structure techniques for the new hierarchy of Korteweg-de Vries equations. Zbl 0398.35078
Dodd, R. K.
1
1978
Soliton immersions. Zbl 0942.53005
Dodd, R. K.
2
1998
Equivalent Hirota bilinearisations. Zbl 0940.17015
Dodd, R. K.
1
1998
Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model. Zbl 0866.92017
Dodd, R. K.
5
1997
The general prolongation formulae for nonlocal symmetries. Zbl 0941.58504
Dodd, R. K.
1
1994
Fundamental representations of the m-principal realization of \(gl_{\infty}\). Zbl 0716.17021
Dodd, R. K.
2
1990
Factorisation of Bäcklund transformations. Zbl 0697.35136
Dodd, R. K.
2
1988
Prolongation structures of complex quasi-polynomial evolution equations. Zbl 0575.35082
Dodd, Roger K.; Fordy, Allan P.
7
1984
The prolongation structures of quasi-polynomial flows. Zbl 0542.35069
Dodd, R.; Fordy, A.
30
1983
Snap-back repellers and chaos in a discrete population model with delayed recruitment. Zbl 0558.92010
Morris, H. C.; Ryan, E. E.; Dodd, R. K.
14
1983
Periodic solutions and chaos in a delay-differential equation modelling haematopoesis. Zbl 0572.92009
Morris, H. C.; Ryan, E. E.; Dodd, R. K.
8
1983
Infinite dimensional Lie algebras and the direct determination of deformation problems for equations of Painlevé type. Zbl 0547.34008
Morris, H. C.; Dodd, R. K.
1
1983
Solitons and nonlinear wave equations. Zbl 0496.35001
Dodd, R. K.; Eilbeck, J. C.; Gibbon, J. D.; Morris, H. C.
407
1982
Linear deformation problems for the Ernst equation. Zbl 0489.53035
Dodd, R. K.; Morris, H. C.
2
1982
Bäcklund transformations. Zbl 0475.58002
Dodd, R. K.; Morris, H. C.
1
1980
The two-component derivative nonlinear Schrödinger equation. Zbl 1063.81549
Morris, H. C.; Dodd, R. K.
10
1979
The generalised Marchenko equation and the canonical structure of the AKNS-ZS inverse method. Zbl 1063.37560
Dodd, R. K.; Bullough, R. K.
2
1979
The prolongation structure of a higher order Korteweg-de Vries equation. Zbl 0376.35009
Dodd, R. K.; Gibbon, J. D.
25
1978
The prolongation structures of a class of nonlinear evolution equations. Zbl 0384.35051
Dodd, R. K.; Gibbon, J. D.
4
1978
Generalised Bäcklund transformation for some non-linear partial differential-difference equations. Zbl 0368.35058
Dodd, R. K.
2
1978
Prolongation structure techniques for the new hierarchy of Korteweg-de Vries equations. Zbl 0398.35078
Dodd, R. K.
1
1978
A new hierarchy of Korteweg-de Vries equations. Zbl 0346.35024
Caudrey, P. J.; Dodd, R. K.; Gibbon, J. D.
100
1976
Bäcklund transformations for the sine-Gordon equations. Zbl 0353.35063
Dodd, R. K.; Bullough, R. K.
26
1976
all top 5

Cited by 971 Authors

10 Kudryashov, Nikolaĭ Alekseevich
10 Osborne, Alfred R.
8 Pérez-García, Víctor Manuel
8 Wu, Xinyuan
7 Liu, Changying
6 Cathala, Jean-Claude
6 Feng, Zhaosheng
6 Gao, Yitian
6 Geng, Xianguo
6 Mancas, Stefan C.
6 Morozov, Oleg I.
6 Qu, Changzheng
6 Roychoudhury, Satrajit
6 Vázquez, Luis
6 Zhang, Hongqing
5 Baccouch, Mahboub
5 Choudhury, Sumitra Roy
5 Dehghan Takht Fooladi, Mehdi
5 Helal, Mohamed Atef
5 Kevrekidis, Panayotis G.
5 Liu, Zhengrong
5 Salas, Alvaro H.
5 Wazwaz, Abdul-Majid Abdul-Rahman
4 Belmonte-Beitia, Juan
4 Bergamasco, L.
4 David, Claire
4 Demirkus, Dilek
4 Dodd, Roger K.
4 Duan, Wenshan
4 Fuchssteiner, Benno
4 Guo, Boling
4 Hereman, Willy A.
4 Igonin, Sergeĭ Aleksandrovich
4 Korotyaev, Evgeny L.
4 Liu, Qingping
4 Lou, Senyue
4 Morris, Hedley C.
4 Parker, Allen
4 Popov, S. P.
4 Sagaut, Pierre
3 Adamashvili, G. T.
3 Bagderina, Yuliya Yur’evna
3 Bishop, Alan Reginald
3 Bratsos, Athanassios G.
3 Carillo, Sandra
3 Chen, Yong
3 Degasperis, Antonio
3 Eilbeck, John Chris
3 Escher, Joachim
3 Flach, Sergej
3 Gordoa, Pilar Ruiz
3 He, Guoliang
3 He, Kaifen
3 Herbst, Ben M.
3 Iantchenko, Alexei
3 Jordan, Pedro M.
3 Khalique, Chaudry Masood
3 Kofané, Timoléon Crépin
3 Li, Biao
3 Li, Haochen
3 Lin, Maimai
3 Ma, Wen-Xiu
3 Manna, Miguel A.
3 Manno, Gianni
3 Mitchell, Andrew Ronald
3 Musette, Micheline
3 Oevel, Walter
3 Pikovsky, Arkady S.
3 Ramos, Juan I.
3 Saleem, U.
3 Sharipov, Ruslan A.
3 Tian, Bo
3 Tuszynski, Jack A.
3 Twizell, E. H.
3 Urazboev, Gayrat U.
3 Vladimirov, Vsevolod A.
3 Wang, Dengshan
3 Yu, Xin
3 Zdravković, Slobodan
3 Zhang, Weiguo
2 Aèro, Èron Lyuttovich
2 Akgül, Ali
2 Andrianov, Igor V.
2 Argyris, John Hadji
2 Aslanov, Afgan
2 Bakholdin, Igor B.
2 Baldwin, Douglas E.
2 Bracken, Paul Francis
2 Bruzón, Maria Santos
2 Bulygin, A. N.
2 Caputo, Jean-Guy
2 Carretero-González, Ricardo
2 Chou, Kai-Seng
2 Constantin, Adrian
2 Conte, Robert M.
2 Cosgrove, Christopher M.
2 Dağ, İdris
2 Demina, Maria V.
2 Denisov, Sergey A.
2 Dikandé, Alain Moïse
...and 871 more Authors
all top 5

Cited in 138 Serials

49 Journal of Mathematical Physics
42 Chaos, Solitons and Fractals
42 Applied Mathematics and Computation
33 Physics Letters. A
32 Physica D
18 Journal of Mathematical Analysis and Applications
16 Journal of Computational Physics
13 Theoretical and Mathematical Physics
12 Applied Numerical Mathematics
12 Communications in Nonlinear Science and Numerical Simulation
11 Computer Physics Communications
11 Journal of Geometry and Physics
10 Mathematics and Computers in Simulation
10 Acta Applicandae Mathematicae
10 Journal of Nonlinear Mathematical Physics
9 Wave Motion
9 Journal of Computational and Applied Mathematics
8 Mathematical Problems in Engineering
8 Nonlinear Dynamics
8 Abstract and Applied Analysis
8 Chaos
7 Computers & Mathematics with Applications
7 Computer Methods in Applied Mechanics and Engineering
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Numerical Methods for Partial Differential Equations
7 International Journal of Computer Mathematics
7 Nonlinear Analysis. Theory, Methods & Applications
6 Applied Mathematics and Mechanics. (English Edition)
6 Applied Mathematics Letters
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Nonlinear Analysis. Real World Applications
5 Letters in Mathematical Physics
5 Physica A
5 Computational Mathematics and Mathematical Physics
4 Communications in Mathematical Physics
4 Reports on Mathematical Physics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Regular and Chaotic Dynamics
3 Applicable Analysis
3 International Journal of Engineering Science
3 International Journal of Theoretical Physics
3 Journal of Engineering Mathematics
3 Nuclear Physics. B
3 Journal of Differential Equations
3 Studies in Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applied Mathematical Modelling
3 Journal of Nonlinear Science
3 Differential Equations
3 Advances in Difference Equations
2 Modern Physics Letters A
2 Modern Physics Letters B
2 International Journal of Modern Physics B
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Physics of Fluids
2 Prikladnaya Matematika i Mekhanika
2 Calcolo
2 Journal of Soviet Mathematics
2 Numerical Algorithms
2 Journal of Mathematical Sciences (New York)
2 Engineering Analysis with Boundary Elements
2 Mathematical Physics, Analysis and Geometry
2 Discrete Dynamics in Nature and Society
2 Physical Review Letters
2 Journal of Applied Mathematics
2 Analysis and Applications (Singapore)
2 International Journal of Geometric Methods in Modern Physics
2 Communications in Theoretical Physics
2 Journal of Applied Analysis and Computation
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Artificial Intelligence
1 Bulletin of the Australian Mathematical Society
1 Fluid Dynamics
1 International Journal of Systems Science
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Transport Theory and Statistical Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Automatica
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Fuzzy Sets and Systems
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Quarterly of Applied Mathematics
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 Journal of Scientific Computing
...and 38 more Serials
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Cited in 38 Fields

474 Partial differential equations (35-XX)
200 Dynamical systems and ergodic theory (37-XX)
138 Numerical analysis (65-XX)
60 Quantum theory (81-XX)
55 Fluid mechanics (76-XX)
48 Ordinary differential equations (34-XX)
28 Global analysis, analysis on manifolds (58-XX)
28 Statistical mechanics, structure of matter (82-XX)
25 Mechanics of deformable solids (74-XX)
16 Computer science (68-XX)
16 Biology and other natural sciences (92-XX)
15 Mechanics of particles and systems (70-XX)
12 Optics, electromagnetic theory (78-XX)
11 Differential geometry (53-XX)
10 Special functions (33-XX)
8 Difference and functional equations (39-XX)
7 Topological groups, Lie groups (22-XX)
7 Operator theory (47-XX)
6 Nonassociative rings and algebras (17-XX)
5 Relativity and gravitational theory (83-XX)
3 Algebraic geometry (14-XX)
3 Approximations and expansions (41-XX)
3 Geophysics (86-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral equations (45-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year