sigma06-048. 220KB Jun 04 2011 12:09:52 AM
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• 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
Key words: partial differential equations; conservative difference schemes; difference al- gebra; linear difference ideal; Gr¨ obner basis; Janet-like basis; computer algebra;
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
This review is organised as follows. In the Section 2 we give the general algebraic setting for this approach. In the Section 3 several comments are made on the foundation of this
The 2-BKP hierarchy is rather special among multi-component integrable hierarchies, because it has a scalar Lax formalism as Shiota [ 7 ] and Krichever [ 8 ] presented.. In
We start by using the Lie group method of infinitesimal transformations to find all the similarity reductions of the partial differential equation to ordinary differential
[16] Atoyan A., Patera J., Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization, J. [21] Humphreys J., Introduction to
