Solution: Go to the Admin tab -> Action / alarm Settings and click on the checkbox - 'Send Complete SMS Information, even if service provider restricts it' in that page.
By default , the complete information that you configure while adding SMS action is sent through the SMS. Some SMS service providers restrict the length of characters sent through the SMS. This could result in truncated message delivery. If you want to send only information on the Monitor, Attribute and its Severity, deselect this option. For E.g., "Health of JBoss Server is critical" will be the SMS message that is received in addition to the message provided when creating the SMS action.