For a one-parameter family of tronquee Painleve II solutions, explicit asymptotic constants for the total integrals of the solution and of the associated Hamiltonian are derived for all alpha > -1/2 and omega >= 0.
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On integrals of the tronqu\'{e}e solutions and the associated Hamiltonians for the Painlev\'{e} II equation
For a one-parameter family of tronquee Painleve II solutions, explicit asymptotic constants for the total integrals of the solution and of the associated Hamiltonian are derived for all alpha > -1/2 and omega >= 0.