How could I let multiple readable stream read on a source readable stream?

multiple_stream_readers.js

var stream = require('stream');

var sstream = new stream.Readable();
var rstream1 = new stream.Readable();
var rstream2 = new stream.Readable();

sstream._read = function() {};

rstream1._read = function() {
    var chunk = sstream.read();

    if (chunk === null)
        return this.push('');

    sstream.unshift(chunk.slice(2));

    this.push(chunk.slice(0, 2));
    this.push(null);
};

rstream2._read = function() {
    var chunk = sstream.read();

    if (chunk === null)
        return this.push('');

    sstream.unshift(chunk.slice(2));

    return this.push(chunk.slice(0, 2));
    this.push(null);
};

sstream.on('readable', function() {
    rstream1.read(0);
});

sstream.on('readable', function() {
    rstream2.read(0);
});

rstream1.on('readable', function() {
    console.log('rstream1', rstream1.read());
});

rstream2.on('readable', function() {
    console.log('rstream1', rstream2.read());
});

sstream.push(new Buffer([0x01, 0x02]));
sstream.push(new Buffer([0x03, 0x04]));