Results 21 to 30 of about 852 (42)

Restricted Flows and the Soliton Equation with Self-Consistent Sources [PDF]

, 2006
The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Backlund transformation for the restricted flows (by V.B. Kuznetsov et al.
Lin, Runliang, Yao, Haishen, Zeng, Yunbo
core   +4 more sources

Integrable 1D Toda cellular automata

, 2005
First, we recall the algebro-geometric method of construction of finite field valued solutions of the discrete KP equation and next we perform a reduction of the dKP equation to the discrete 1D Toda equation.
Bialecki, Mariusz
core   +2 more sources

Non-commutative q-Painleve VI equation [PDF]

, 2013
By applying suitable centrality condition to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then we derive non-commutative q-discrete Painleve VI equation with full range
Doliwa, Adam
core   +1 more source

Global well-posedness for KdV in Sobolev Spaces of negative index [PDF]

, 2001
The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data.
Colliander, J., Keel, M., Staffilani, G., Takaoka, H., Tao, T.   +4 more
core   +1 more source

A Liouville theorem for the Degasperis-Procesi equation [PDF]

, 2015
We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Brandolese, Lorenzo
core  

The Toda lattice is super-integrable

, 2005
We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N-1 independent constants of motion, where N is the number of degrees of freedom.
Adler, Atiyah, Christodoulos Sophocleous, Damianou, Damianou, Damianou, Faybusovich, Flaschka, Hénon, Manakov, Maria A. Agrotis, Pantelis A. Damianou, Toda   +12 more
core   +1 more source

Rogue waves of the Fokas-Lenells equation

, 2012
The Fokas-Lenells (FL) equation arises as a model eqution which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order (in the leading asymptotic order the nonlinear Schr\"odinger (NLS ...
He, Jingsong, Porsezian, Kuppuswamy, Xu, Shuwei   +2 more
core   +1 more source

On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$

, 2010
We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in ...
Vershilov, A. V.
core   +1 more source

Remarks on the waterbag model of dispersionless Toda Hierarchy

, 2007
We construct the free energy associated with the waterbag model of dToda.
Bogdanov L V, Boyarsky A, Boyer C P, Calderbank D M J, Chang J H, Dijkgraaf R, Dubrovin B, Dubrovin B, Jones P. E., Konopelchenko B. G., Kostov L, Krichever I., Krichever I., Marshakov A., Martinez Alonso L, Martini R., Mineev-Weinstein M., Pavlov M. V., Pavlov M. V., Riley A, Takasaki K., Takasaki K., Takasaki K., Takebe T, Tsarev S. P., Ward R. S., Wiegmann P., Wiegmann P., Witten E, Yu L.A.   +29 more
core   +1 more source

On a theorem by Treves

, 2004
According to a theorem of Treves, the conserved functionals of the KdV equation vanish on each formal Laurent series 1/x^2 + u0 + u2 x^2 + u3 x^3 + >... .
Carlo Morosi, Livio Pizzocchero, Treves F., Treves F.   +3 more
core   +1 more source