The best replacement for jquery mobile is sencha touch.

The best alternatives to jquery mobile are rated as following:
★★★★★  sencha touch
★★★★  jqtouch
★★★  jquery
★★★  bootstrap
★★  phonegap
★★  angularjs
★★  bootstrap 3
★★  jquery ui
★★  responsive
★  zepto
★  topcoat
★  appframework
★  dojo mobile
★  ratchet
★  jquery touch
  kendo ui
  sencha
  responsive design
  twitter bootstrap

Your alternative for jquery mobile is not listed? Suggest!
Speaking about jquery mobile, one probably shouldn't forget about phonegap.

Other search terms related to jquery mobile and their ratings are:
★★★★★ phonegap
★★★★ bootstrap
★★★★ backbone
★★★ jquery ui
★★ handlebars
You have in mind a companion for jquery mobile and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of jquery mobile in all years. Click on graph for more.
jquery mobile
sencha touch
jqtouch