Results 51 to 60 of about 904 (79)

Additional symmetries of constrained CKP and BKP hierarchies

, 2010
The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP) hierarchies are given by their actions on the Lax operators, and their actions on the eigenfunction and adjoint eigenfunction $\{\Phi_i,\Psi_i \}$ are presented explicitly ...
A. Alexandrov, A. Mironov, A. Morozov, A. Y. Orlov, B. G. Konopelchenko, E. Date, E. Date, H. Aratyn, H. Aratyn, H. F. Shen, I. Loris, I. Loris, I. Loris, J. S. He, J. S. He, JingSong He, JiPeng Cheng, K. Takasaki, KeLei Tian, L. A. Dickey, L. A. Dickey, L. A. Dickey, M. Adler, M. Adler, M. H. Tu, P. Moerbke van, W. X. Ma, W. X. Ma, W. X. Ma, Y. Cheng, Y. Cheng, Yi Cheng   +31 more
core   +1 more source

A 3-component extension of the Camassa-Holm hierarchy

, 2006
We introduce a bi-Hamiltonian hierarchy on the loop-algebra of sl(2) endowed with a suitable Poisson pair. It gives rise to the usual CH hierarchy by means of a bi-Hamiltonian reduction, and its first nontrivial flow provides a 3-component extension of ...
B. Fuchssteiner, B. Khesin, E.G. Reyes, G. Falqui, H. McKean, J.E. Marsden, L.A. Dickey, Laura Fontanelli, M. Pedroni, Marco Pedroni, P. Casati, P. Casati, P. Casati, P. Libermann, P. Lorenzoni, Paolo Lorenzoni, R. Beals, R. Beals, R. Camassa, S. Abenda, S. Liu, V.E. Zakharov, V.G. Drinfeld   +22 more
core   +1 more source

Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited

, 2008
We consider the Burgers-type system studied by Foursov, w_t &=& w_{xx} + 8 w w_x + (2-4\alpha)z z_x, z_t &=& (1-2\alpha)z_{xx} - 4\alpha z w_x + (4-8\alpha)w z_x - (4+8\alpha)w^2 z + (-2+4\alpha)z^3, (*) for which no recursion operator or master symmetry
A. Sergyeyev, A. Sergyeyev, A. Sergyeyev, A.S. Fokas, A.S. Fokas, A.V. Bocharov, A.V. Mikhailov, Artur Sergyeyev, B. Kruglikov, B. Kruglikov, B.G. Konopelchenko, F. Beukers, F. Calogero, G.A. Guthrie, I. Dorfman, I.S. Krasil’shchik, I.S. Krasil’shchik, I.S. Krasil’shchik, I.S. Krasil’shchik, J.A. Sanders, K. Foltinek, M. Błaszak, M. Marvan, M.V. Foursov, N.H. Ibragimov, P.H. Kamp van der, P.J. Olver, P.J. Olver, R.O. Popovych, R.Z. Zhdanov, S.I. Svinolupov, T. Tsuchida   +31 more
core   +2 more sources

Spread mechanism and control strategy of social network rumors under the influence of COVID-19. [PDF]

Nonlinear Dyn, 2020
Hui H, Zhou C, Lü X, Li J.
europepmc   +1 more source

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

Open Mathematics, 2014
Morozov Oleg
doaj   +1 more source

Generalizations of the short pulse equation. [PDF]

Lett Math Phys, 2018
Hone ANW, Novikov V, Wang JP.
europepmc   +1 more source

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source

Lagrangian multiforms and dispersionless integrable systems. [PDF]

Lett Math Phys
Ferapontov EV, Vermeeren M.
europepmc   +1 more source

Hirota, Fay and geometry. [PDF]

Lett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source