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تسجيل مستخدم جديدTowards the classification of integrable differential-difference equations in 2 + 1 dimensions
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We address the problem of classification of integrable differential-difference equations in 2+1 dimensions with one/two discrete variables. Our approach is based on the method of hydrodynamic reductions and its generalisation to dispersive equations. We obtain a number of classification results of scalar integrable equations including that of the intermediate long wave and Toda type.
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We introduce two classes of homogeneous polynomials and show their role in constructing of integrable hierarchies for some integrable lattices.
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