You can use swipe events and with jquery dynamically switch between parts of you html using toggle, or using $.mobile.changePage(url), example
$('div[data-role=page]').on('swipeleft, swiperight ', go);
function go(event) {
switch(event.type) {
case 'swiperight':
console.log('swiperight');
$('#divid2,#divid3').toggle(false);
$('#divid1').toggle(true);
break;
case 'swipeleft':
console.log('swipeleft');
$('#divid1,#divid2').toggle(false);
$('#divid3').toggle(true);
break;
}
}
Something like that or you can use jquery animate to fadeOut parts of the html, or use $.mobile.changePage(url) which can transition between different pages and it will look like tabs if you have same headers and footers.