You can use powershell to deploy wsp solutions. First you need to call Add-SPSolution cmdlet to add wsp solution to solution store and then deploy it using Install-SPSolution cmdlet. Please refer to this post.
Example:
Add-SPSolution “D:\Deploy\MySharePointSolution.wsp“
Install-SPSolution –Identity MySharePointSolution.wsp –WebApplication http://myspwebapp –GACDeployment