How do I manage the back buttons for multiple screens in libgdx?

What if there are some ways to manage the back button in libgdx?

For example, in andengine, I implemented the following:

@Override
public boolean onKeyDown(int keyCode,KeyEvent event) {  
     if (keyCode == KeyEvent.KEYCODE_BACK && event.getAction() == KeyEvent.ACTION_DOWN) {          
          switch (currentScene) {
               case SPLASH:
                   break;
               case MENU:
                   Process.killProcess(Process.myPid());
                   break;
               case WORLDMENU:
                       start(MENU);
                       break;
...
...
    }
  }
}

I don't know how to do it here, because applicationlistener only has create, show, render... I've tried this:

if (Gdx.input.isButtonPressed(Keys.BACK)){
    new ScreenChangeTask(MyScreen.SPLASH);
}

But it still closes my application

For reference only: I have a class controller extension game. I use public void setscreen to switch between screens

Solution

To do this correctly, you need to tell libgdx to capture the back key:

Gdx.input.setCatchBackKey(true);

You should do this somewhere early in the application If you want users to be able to use the back key, set it to false