Abstract: In this paper we study the local solution, global solution and the Blow-up of the solution for a generalized damped Boussinesq equation. By employing various methods such as the energy method, the Fourier transform method, contraction mapping principle and the concavity method, we proved the existence of local and global solutions under certain conditions. Finally, we gave three the conditions about the Blow-up of the solution.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Cai Donghong, Ye Jianjun, "Blow-up of Solution to Cauchy Problem for the Generalized Damped Boussinesq Equation," WSEAS Transactions on Mathematics, vol. 13, pp. 122-131, 2014, DOI:
Cai Donghong, Ye Jianjun. Blow-up of Solution to Cauchy Problem for the Generalized Damped Boussinesq Equation.
WSEAS Transactions on Mathematics. 2014;13:122-131.