You can use inappbrowser cordova plugin.

Here is example of code:

<script type="text/javascript" charset="utf-8">
                 // Wait for device API libraries to load
//
document.addEventListener("deviceready", onDeviceReady, false);

// device APIs are available
//
function onDeviceReady() {
    window.open('http://paypal.me/xxxzzzyyy/5', '_blank', 'location=yes');
}

</script>

You can also call link onclick and there is close button which makes you back to app.

Oddly enough, it seems to work if you give it a size..

var windowSize = "width=" + window.innerWidth + ",height=" + window.innerHeight + ",scrollbars=no";
window.open('http://www.google.com', 'popup', windowSize);

Tested on iOS and Android.

First of all, you need to set the following settings on your WebView:

WebSettings webSettings = webView.getSettings();
webSettings.setJavaScriptEnabled(true);
webSettings.setJavaScriptCanOpenWindowsAutomatically(true);
webSettings.setSupportMultipleWindows(true);

Then you need to attach a WebChromeClient that overrides onCreateWindow. Your implementation of this method can create a new web view, and display it inside a dialog:

webView.setWebChromeClient(new WebChromeClient() {

        @Override
        public boolean onCreateWindow(WebView view, boolean isDialog, boolean isUserGesture, Message resultMsg) {
            WebView newWebView = new WebView(MyActivity.this);
            WebSettings webSettings = newWebView.getSettings();
            webSettings.setJavaScriptEnabled(true);

            // Other configuration comes here, such as setting the WebViewClient

            final Dialog dialog = new Dialog(MyActivity.this);
            dialog.setContentView(newWebView);
            dialog.show();

            newWebView.setWebChromeClient(new WebChromeClient() {
                @Override
                public void onCloseWindow(WebView window) {
                    dialog.dismiss();
                }
            });

            ((WebView.WebViewTransport)resultMsg.obj).setWebView(newWebView);
            resultMsg.sendToTarget();
            return true;
        }

});

Don't forget to set the new web view to the resultMsg, send it to its target and return true, as mentioned in the API documentation.

For Android:

<a href="intent:https://yourwebsite.com#Intent;end" target="_blank">Open Browser</a>

Note: This solution will open default browser (if its set, if no default browser set, it will show list of browsers which supports opening url)

Make sure that, the click is generated by user (Not Javascript) to test this. Some browsers wont open if its NOT called by user.