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We have calculated the energy of static solitary wave solutions of the one-dimensional Gross-Pitaevskii equation with time-dependent parabolic trap, time dependent scattering wave length of s-wave, and time-dependent external potential describing gain or loss term. Some written solutions of the equation were proposed by Atre et al. [Phys. Rev. E 73 (2006) 056611] which two of them based on the experimental results presented by Strecker et al. [Nature (London) 417 (2002) 150]. The solutions satisfy the condition of solitary wave solution since they are localized over all space. By this argument, the energies are obtained by integrating the Hamiltonian density over all space formulated in the Classical Field Theory. To calculate the energies, we construct the appropriate Lagrangian density representing the equation by initially writing the ansatz Lagrangian density and substituting into Euler-Lagrange equation. We find that two of them have the same energies and the other one should be mathematically have the pure imaginary function describing gain-loss term in order to keep energy real.