Journal of Physics A: Mathematical and General
Volume 36
Number 5
Create an alert
RSS this journal
M Marvan and A Sergyeyev 2003 J. Phys. A: Math. Gen. 36 L87 doi:10.1088/0305-4470/36/5/102
Recursion operator for the stationary Nizhnik–Veselov–Novikov equation
FREE ARTICLEM Marvan and A Sergyeyev
Show affiliations- [1]
-
Ablowitz M J, Kaup D J, Newell A C and Segur H 1974 Stud. Appl. Math. 53 249-315
- [2]
-
Fokas A S and Anderson R L 1982 J. Math. Phys. 23 1066-73
CrossRef
- [3]
-
Konopelchenko B G 1987 Nonlinear Integrable Equations. Recursion Operators, Group-Theoretical and Hamiltonian Structures of Soliton Equations (Berlin: Springer)
-
Konopelchenko B G 1988 Inverse Probl. 4 785-814
IOPscience
- [4]
-
Gürses M, Karasu A and Sokolov V V 1999 J. Math. Phys. 40 6473-90
CrossRef
- [5]
-
Olver P J 1993 Applications of Lie Groups to Differential Equations (New York: Springer)
- [6]
-
Bocharov A V et al 1999 Symmetries and Conservation Laws for Differential Equations of Mathematical Physics (Providence, RI: American Mathematical Society)
- [7]
-
Blaszak M 1998 Multi-Hamiltonian Theory of Dynamical Systems (Heidelberg: Springer)
- [8]
-
Guthrie G A 1994 Proc. R. Soc. A 446 107-14
CrossRef
- [9]
-
Marvan M 1996 Differential Geometry and Applications (Brno, 1995) ed J Janyska, I Kolár and J Slovák (Brno: Masaryk University) pp 393-402 (available at http://www.emis.de/proceedings)
- [10]
-
Ferapontov E V 1999 Differ. Geom. Appl. 11 117-28
CrossRef
- [11]
-
Rogers C and Schief W K 2002 Bäcklund and Darboux Transformations. Geometry and Modern Applications in Soliton Theory (Cambridge: Cambridge University Press)
- [12]
-
Nizhnik L P 1980 Sov. Math. Dokl. 25 706-8
- [13]
-
Veselov A P and Novikov S P 1984 Sov. Math. Dokl. 30 588-91
- [14]
-
Konopelchenko B G 1997 Phys. Lett. B 414 58-64
CrossRef
- [15]
-
Yamagishi K 1999 Phys. Lett. B 454 31-7
CrossRef
- [16]
-
Sanders J A and Wang J P 2001 Physica D 149 1-10
CrossRef
- [17]
-
Sergyeyev A 2000 Proc. Sem. Differ. Geom. ed D Krupka (Opava: Silesian University in Opava) pp 159-73 (Preprint nlin.SI/0012011)
Preprint
- [18]
-
Fokas A S and Fuchssteiner B 1981 Phys. Lett. A 86 341-5
CrossRef
-
Fuchssteiner B 1983 Prog. Theor. Phys. 70 1508-22
CrossRef
- [19]
-
Fuchssteiner B and Fokas A S 1981 Physica D 4 47-66
CrossRef
- [20]
-
Karasu (Kalkanli) A, Karasu A and Sakovich S Yu 2002 A strange recursion operator for a new integrable system of coupled Korteweg-de Vries equations Preprint nlin.SI/0203036
Preprint
- [21]
-
Wang J P 2002 J. Nonlinear Math. Phys. 9 (suppl 1) 213-33
CrossRef
-
Recursion operator for the stationary Nizhnik–Veselov–Novikov equation
M Marvan and A Sergyeyev 2003 J. Phys. A: Math. Gen. 36 L87
-
FOCUS ON BROWNIAN MOTION AND DIFFUSION IN THE 21ST CENTURY
Peter Hänggi et al 2005 New J. Phys. 7
-
Experimental tests of quantum nonlinear dynamics in atom optics
Winfried K Hensinger et al 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R83
-
Wave diffusion and mesoscopic dynamics, towards a universal time-dependent random scattering matrix
Richard L Weaver 2007 New J. Phys. 9 8
-
Note on canonical quantization and unitary equivalence in field theory
Alejandro Corichi et al 2003 Class. Quantum Grav. 20 L83
-
Effect of reflections and losses in Smith–Purcell free-electron lasers
H L Andrews et al 2006 New J. Phys. 8 289
-
Awareness-based communication management in the MASSIVE systems
Chris Greenhalgh 1998 Distrib. Syst. Engng. 5 129
-
Using the Filaments in the Las Campanas Redshift Survey to Test the ΛCDM Model
Somnath Bharadwaj and Biswajit Pandey 2004 ApJ 615 1
-
Group membership failure detection: a simple protocol and its probabilistic analysis
M Raynal and F Tronel 1999 Distrib. Syst. Engng. 6 95
-
Spatial decoherence induced by small-world connectivity in excitable media
Matjaž Perc 2005 New J. Phys. 7 252
Users also read
What's this?This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.
- Infinite hierarchies of nonlocal symmetries of the Chen–Kontsevich–Schwarz type for the oriented associativity equations
- Why nonlocal recursion operators produce local symmetries: new results and applications
- A strange recursion operator demystified
Related review articles
What's this? View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.