论文标题
波动方程的解决方案，用于通勤无散的PDE
Solutions to the wave equation for commuting flows of dispersionless PDEs
论文作者
论文摘要
在可集成系统的观点的启发下，我们研究了2组分式胶线方程的通勤流，从而减少了以非恒定速度研究波方程的解。在本文中，我们应用了差分约束的还原过程，以获取某些固定速度A^2（u，v）的该方程的完整解决方案集。结果，我们提供了一些具有相对对称性，保守数量和解决方案的哈密顿综合系统（作为浅水方程）的一些例子。
Motivated by the viewpoint of integrable systems, we study commuting flows of 2-component quasilinear equations, reducing to investigate the solutions of the wave equation with non-constant speed. In this paper, we apply the reduction procedure of differential constraints to obtain a complete set of solutions of such an equation for some fixed velocities a^2(u,v). As a result, we present some examples of Hamiltonian integrable systems (as the shallow water equations) with relative symmetries, conserved quantities and solutions.
