sigma06-053. 219KB Jun 04 2011 12:09:52 AM
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We now construct explicitly a piecewise classical solution for Heaviside initial data that satisfies the Rankine-Hugoniot jump conditions (hence it is a weak solution and will be
In this section we describe a super-field representation of the dispersionless Boussinesq equa- tion; the system at hand admits two infinite sequences of commuting symmetries
We study a way of q -deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of
After reminding that global deformations of the Witt, Virasoro, and affine Kac–Moody algebras allow one to retrieve Lie algebras of Krichever–Novikov type, we contract the latter
• at the second perturbative order (hence, with a high degree of accuracy), the dynamics of the system is given, up to a ‘dynamical dressing’, by the dynamics associated with
The choice of plus sign leads to an integrable equation which supports compactons, whereas the minus sign is the water wave model derived by Camassa–Holm, whose solitary wave
Give the description of all irreducible configurations (associated with a fixed graph Γ and an arrangement of numbers on its edges) up to a unitary transformation.... We enumerate
Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q -KP hierarchy is a q -deformed generalized
