Roman Cherniha and Oleksii Pliukhin 2008 J. Phys. A: Math. Theor. 41 185208 doi:10.1088/1751-8113/41/18/185208
New conditional symmetries and exact solutions of reaction–diffusion systems with power diffusivities
Roman Cherniha1,2 and Oleksii Pliukhin1
Show affiliationsA wide range of new Q-conditional symmetries for reaction–diffusion systems with power diffusivities are constructed. The relevant non-Lie ansätze to reduce the reaction–diffusion systems to ODE systems and examples of exact solutions are obtained. The relation of the solutions obtained with the development of spatially inhomogeneous structures is discussed.
- PACS
- MSC
- Subjects
- Dates
-
Issue 18 (9 May 2008)
Received 21 November 2007, in final form 14 March 2008
Published 21 April 2008
-
New conditional symmetries and exact solutions of reaction–diffusion systems with power diffusivities
Roman Cherniha and Oleksii Pliukhin 2008 J. Phys. A: Math. Theor. 41 185208
-
Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
N A Sinitsyn and J Ohkubo 2008 J. Phys. A: Math. Theor. 41 262002
-
The study of optimizing growth conditions for improving field emission property of W18O49 nanorod arrays
L F Chi et al 2009 J. Phys.: Conf. Ser. 188 012021
-
Quasi-long-range order in the 2D XY model with random phase shifts
Vincenzo Alba et al 2009 J. Phys. A: Math. Theor. 42 295001
-
Physics of brain dynamics: Fokker–Planck analysis reveals changes in EEG δ–θ interactions in anæsthesia
A Bahraminasab et al 2009 New J. Phys. 11 103051
-
Dark energy and inhomogeneity
G F R Ellis 2009 J. Phys.: Conf. Ser. 189 012011
-
Design of compliant mechanisms with selective compliance
Alexander Hasse and Lucio Flavio Campanile 2009 Smart Mater. Struct. 18 115016
-
The generalized geometrical model for the photoionization of polarized atoms: application to linear dichroism in the 2p photoemission from Na 32S and Na* 32P initial states
A N Grum-Grzhimailo et al 2009 J. Phys. B: At. Mol. Opt. Phys. 42 171002
-
Differential equations with fractional derivative and universal map with memory
Vasily E Tarasov 2009 J. Phys. A: Math. Theor. 42 465102
-
Combined in situ analysis of Ni2P/MCM-41 under hydrodesulfurization conditions – Simultaneous observation of QXAFS and FTIR –
K K Bando et al 2009 J. Phys.: Conf. Ser. 190 012158
Users also read
What's this?- One-dimensional anyons with competing δ-function and derivative δ-function potentials
- Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies
- Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
-symmetric models of scatteringRelated review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Quantum integrability and functional equations: applications to the spectral problem of AdS/CFT and two-dimensional sigma models
- Dark solitons in atomic Bose–Einstein condensates: from theory to experiments