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Evolutionary Hirota Type (2+1)-Dimensional Equations: Lax Pairs, Recursion Operators and Bi-Hamiltonian Structures. (arXiv:1712.01549v2 [math-ph] UPDATED)
来源于:arXiv
We show that evolutionary Hirota type Euler-Lagrange equations in (2+1)
dimensions have a symplectic Monge-Amp\`ere form. We consider integrable
equations of this type in the sense that they admit infinitely many
hydrodynamic reductions and determine Lax pairs for them. For two
seven-parameter families of integrable equations converted to two-component
form we have constructed Lagrangians, recursion operators and bi-Hamiltonian
representations. We have also presented a six-parameter family of
tri-Hamiltonian systems. 查看全文>>