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- Rutherford Appleton LaboratoryGB31 papers
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- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT27 papers
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4 papers · 1 filter
A Symplectic Generalization of the Peradzynski Helicity Theorem and Some Applications
Anatoliy K. Prykarpatsky, Nikolai N. Bogoliubov, Jolanta Golenia
Symplectic and symmetry analysis for studying MHD superfluid flows is devised, a new version of the Z. Peradzynski helicity theorem based on differential - geometric and group-theo…
The Electromagnetic Lorentz Condition Problem and Symplectic Properties of Maxwell and Yang-Mills Type Dynamical Systems
N. N. Bogolubov, A. K. Prykarpatsky, U. Taneri +1
Symplectic structures associated to connection forms on certain types of principal fiber bundles are constructed via analysis of reduced geometric structures on fibered manifolds i…
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Vsevolod A. Vladimirov, Ekaterina V. Kutafina, Anna Pudelko
We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and…
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2
J. Golenia, Y. A. Prykarpatsky, A. M. Samoilenko +1
The structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric tools. It is shown that…