How to send the actual message?

POST http://login.42call.com/api/rest/v2/?sms

POST data:

{
   "act": "sendSms",
   "phonenumbers": "0123456789",
   "message": "my sms text"
}

Request Headers:

Connection: keep-alive
x-date: 2014-02-20 19:38:49.000000 GMT+0000
x-authorization: demo:SOGyuh3sE7beTnvei3RJibGudCI=
Content-Type: application/x-www-form-urlencoded
Content-Length: 82
Host: login.42call.com

Response Body:

{
    "error": false,
    "codes": [
        {
            "code": 200,
            "description": "OK"
        }
    ],
    "body": {
        "smsbilledId": "6D800504-D9DC-446B-B03B-468E17582A89",
        "customernumber": "1234",
        "accountnumber": "1234",
        "username": "demo",
        "customercurrency": "eur",
        "customeraccountstate": "16,94"
    }
}

The modul also works for BULK SMS or named mass sms. Just transmit the receiver separated with | like 0123|2314|4567 as show here at Mashape.

Or have a look at the complete jQuery mobile and Phonegap (for Android) Example on github.