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The Algebro-Geometric Initial Value Problem for the Ruijsenaars-Toda Hierarchy and Quasi-Periodic Solutions
Ruijsenaars-Toda hierarchy complex-valued algebro-geometric solutions hyperelliptic curve Dubrovin-type equation Baker-Akhiezer vector
2012/4/27
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperellip...
On ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations
ringing effect dispersive equations weak solutions periodic boundary conditions Diophantine approximations Weyl shift method
2011/8/30
Abstract: We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be continuous...
Existence of Doubly-Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Differential Equations
weight weighted pseudo-almost periodic doubly-weighted Bohr spectrum
2011/2/21
The main objective of this paper is twofold. We first show that if the doublyweighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum o...
Multiplicity and regularity of large periodic solutions with rational frequency for a class of semilinear wave equations
Multiplicity regularity of large periodic solutions rational frequency semilinear wave equations
2010/12/6
grande, pour une classe d’´equations semilin´eaires avec des conditions p´eriodiques sur le bord: utt − uxx = f(x, u),u(0, t) = u(, t) , ux(0, t) = ux(, t).Notre m´etho...
New exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method
exact multi line soliton nonlinear evolution equation periodic solutions
2010/4/6
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic a...