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3 papers · 2 filters
Waves in the Skyrme--Faddeev model and integrable reductions
L. Martina, M. V. Pavlov, S. A. Zykov
In the present article we show that the Skyrme--Faddeev model possesses nonlinear wave solutions, which can be expressed in terms of elliptic functions. The Whitham averaging metho…
Grassmannians Gr(N-1,N+1), closed differential N-1 forms and N-dimensional integrable systems
L. V. Bogdanov, B. G. Konopelchenko
Integrable flows on the Grassmannians Gr(N-1,N+1) are defined by the requirement of closedness of the differential N-1 forms of rank N-1 naturally associated with Gr(N-1,…
Extended resolvent of heat operator with multisoliton potential
M. Boiti, F. Pempinelli, A. K. Pogrebkov
The heat operator with a general multisoliton potential is considered and its extended resolvent, depending on a parameter is derived. Its boundedness properties in all…