一族具有赝势的（2+1）维流体动力学型系统
A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential
摘要：
利用有理系数偏微分方程线性系的解构造了一族具有3个独立变量和n>1个因变量的可积流体动力学型方程组.我们选择赝势的存在作为可积性的判据。在n=2的情况下，这个族是这类系统分类问题的一般解。在n>2的情况下，我们也给出了这个族的一个椭圆模拟。
英文摘要：
We construct a family of integrable hydrodynamic type systems with three independent and n>1 dependent variables in terms of solutions of linear system of PDEs with rational coefficients. We choose the existence of a pseudopotential as a criterion of integrability. In the case n=2 this family is a general solution of the classification problem for such systems. We give also an elliptic analog of this family in the case n>2.
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