一类广义Monge-Ampere方程的可积结构
On integrable structures for a generalized Monge-Ampere equation
摘要：
考虑一个三阶广义Monge-Ampere方程u_yyy - u_xxy^2 + u_xxx u_xyy = 0（它与二维拓扑场论中的结合性方程密切相关），并描述了与之相关的所有可积结构（即，哈密顿算子、辛算子和递归算子）。无限层次的对称性和守恒律的构造以及。
英文摘要：
We consider a 3rd-order generalized Monge-Ampere equation u_yyy - u_xxy^2 + u_xxx u_xyy = 0 (which is closely related to the associativity equation in the 2-d topological field theory) and describe all integrable structures related to it (i.e., Hamiltonian, symplectic, and recursion operators). Infinite hierarchies of symmetries and conservation laws are constructed as well.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
