sigma06-056. 339KB Jun 04 2011 12:09:52 AM
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In this section, we describe a convenient setting to develop integration by parts methods for Markov operators to reach differential equations on Laplace transforms for.. the
As a result of application of the criterion of the non-integrability, based on presence of the internal mode in a soliton spectrum, it is shown that the regularized dispersive
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
While constructing the solution of the initial value problem for the BBGKY hierarchy of the classical systems of particles with the initial data from the space of sequences of
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
And in the situation when the direct algebraic balance method, based on the representing solution we are looking for in the form of finite combination of the given functions fails,
(A problem involving nonlinear PDEs is considered solvable if its solution can be obtained by performing algebraic operations – such as finding the zeros of a given polynomial – and
