Integrable nonlinear equations and Liouville's theorem, I
Copyright policy )Integrable nonlinear equations and Liouville's theorem, I
A symplectic structure is constructed and the Liouville integration carried out for a stationary Lax equation [L, P]=0, whereL is a scalar differential operator of an arbitrary order.nth order operators are included into the variety of first-order matrix operators, and properties of this inclusion are studied.
58F07, 35Q20, symplectic structure, stationary Lax equation, Liouville's procedure, Explicit solutions, first integrals of ordinary differential equations, Abelian mapping, complete integrability, stationary Lax equations
58F07, 35Q20, symplectic structure, stationary Lax equation, Liouville's procedure, Explicit solutions, first integrals of ordinary differential equations, Abelian mapping, complete integrability, stationary Lax equations
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