To the Classif ication of Integrable Systems in 1 + 1 Dimensions
نویسنده
چکیده
The aim of this article is to classify completely integrable systems of the following form ut = u3 + f(u, v, u1, v1, u2, v2, ), vt = g(u, v, u1, v1). Here, ui = ∂u/∂x, ut = ∂u/∂t. The popular symmetry approach to the classification of integrable partial differential systems requires large calculations. That is why we applied the simpler ”Chinese” method that deals with canonical conserved densities. Moreover, we proved and applied some additional integrability conditions. These conditions follow from the assumption that the Noether operator exists.
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تاریخ انتشار 1997