Results 41 to 50 of about 929 (72)

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
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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
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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
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On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation [PDF]

, 2006
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle $\theta$ are constructed and then reduced to the two-component Camassa--Holm model.
Aratyn, H., Gomes, J. F., Zimerman, A. H.   +2 more
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Kinky periodic pulse and interaction of bell wave with kink pulse wave propagation in nerve fibers and wall motion in liquid crystals

Partial Differential Equations in Applied Mathematics, 2020
In this article, we apply a direct influential approach namely enhanced modified simple equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo (FHN) equations which explain nerve pulse propagation in nerve fibers, circuit theory ...
Md. Mamunur Roshid, Harun-Or-Roshid, M. Zulfikar Ali, Hadi Rezazadeh   +3 more
doaj  

Prolongation structure of the Krichever-Novikov equation [PDF]

, 2002
We completely describe Wahlquist-Estabrook prolongation structures (coverings) dependent on u, u_x, u_{xx}, u_{xxx} for the Krichever-Novikov equation u_t=u_{xxx}-3u_{xx}^2/(2u_x)+p(u)/u_x+au_x in the case when the polynomial p(u)=4u^3-g_2u-g_3 has ...
Igonin, Sergei, Martini, Ruud
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UC and BUC plane partitions

European Physical Journal C: Particles and Fields
This paper is concerned with the investigation of UC and BUC plane partitions based upon the fermion calculus approach. We construct generalized the vertex operators in terms of free charged fermions and neutral fermions and present the interlacing ...
Shengyu Zhang, Zhaowen Yan
doaj   +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
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From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators

, 2013
In this letter,we present our conjecture on the connection between the Kontsevich--Witten and the Hurwitz tau-functions. The conjectural formula connects these two tau-functions by means of the $GL(\infty)$ group element.
A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Givental, A. Givental, A. Givental, A. Mironov, A. Mironov, A. Mironov, A. Morozov, A. Morozov, A. Okounkov, A.S. Alexandrov, A.S. Alexandrov, A.S. Alexandrov, A.S. Schwarz, Alexander Alexandrov, C. Faber, C. Itzykson, E. Witten, G. Borot, I. Goulden, I. Kostov, I. Kostov, I.P. Goulden, M. Aganagic, M. Kazarian, M. Kontsevich, S. Kharchev, T. Ekedahl, T. Miwa, T. Shiota, V. Bouchard, V. Kac   +35 more
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