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Protractor: How to locate a sibling of a given element?

<div>
<a href='...'>LINK</a>
<img class='image' />
</div>
<div>
...
</div>
I want to get a protractor element for the img tag with image class. I already know the link text 'LINK'. In other words, "How do I locate a sibling of a given element?".
The first line of the code could look like this:
browser.findElement(by.linkText('LINK'))
Any ideas?
Thanks & Cheers

Thanks for the inspiration. Here's my solution, not the one I was hoping for, but it works:
element(by.css('???')).element(by.xpath('..')).element(by.css('???')).click();
The chaining and the by.xpath, which allows to get back to the parent are the keys of the solution.

This is what I actually implement on a Page Object:
this.widgets['select-status'] = this.ids['select-status']
.element(by.xpath('following-sibling::div[1]'));
this.widgets['select-status.dropdown'] = element(by.css('.btn-group.bootstrap-select.open'));
The page is based on Bootstrap along with Bootstrap Select. Anyways, we traverse the DOM along the following-sibling axis. Refer to XPATH specification for yourself.

Using Xpath selectors is not a better choice as it slows down the element finding mechanism.
I have designed a plugin to address this specific issues: protractor-css-booster
The plugin provides some handly locators to find out siblings in a better way and most importantly with CSS selector.
using this plugin, you can directly use:
var elem = await element(by.cssContainingText('a','link text')).nextSibling();
elem.click(); //proceed with your work
or, use this as by-locator
var elem = element(by.cssContainingText('a','link text')).element(by.followingSibling('img'));
You can always checkout the other handy methods available here...
Now, you can find web elements such as:
Finding Grand Parent Element
Finding Parent Element
Finding Next Sibling
Finding Previous Sibling
Finding any Following Sibling
Finding First Child Element
Finding Last Child Element
And, guess what, everything you can find using 💥 CSS Selectors 💥
Hope, it will help you...

Jquery .children() not working as expected

I am trying to make a basic captcha module for jQuery. I have a decent start on it, but for some reason .children() doesn't seem to work. See it here: http://jsfiddle.net/pTbeW/
I currently have this:
$(this).children('.captchain-start').hide();
$(this).children('.captchain-show').show();
If I change it to
$('.captchain-start').hide();
$('.captchain-show').show();
it works perfectly. But this solution is less than ideal, because it wouldn't allow two instances of this captcha to be on the same page. I suspect it has to do with the html being set by query, but I'm not sure how. I'm far from a javascript and jQuery expert, but this seemed like a relatively easy thing to do. What am I missing? Do I have tired eyes from looking at it so long? Any help would be appreciated.

Because the '.captchain-*' elements are not children, but are siblings. Try the following:
$(this).nextAll('.captchain-start').hide();
$(this).nextAll('.captchain-show').show();

You should use $(this).nextAll() instead of $(this).children() because the elements you want to hide and show are not children of the a element, but siblings.
See http://api.jquery.com/nextAll/

this
In your click event references the clicked element, which is the element with the class 'captchain-start'. So you do not have to scan for the children, you can use:
$(this)
for the actually clicked element or the element selector instead
instead.

Getting id then selecting that element - jQuery

I'm often finding myself getting various attributes, such as the id of an element or class, then selecting that element and doing something.
What I do now for example is:
var id = $(this).closest(".item").attr('id');
$('#'+id).hide();
Is using '#' and including the id the best way to do this? is there a way to maybe chain these actions together?
Thank you!

If you also want the id at the end, you can chain them like this:
var id = $(this).closest(".item").hide().attr('id');

If you are then going on to manipulate the elements as you do above, a more flexible way would be:
var item = $(this).closest(".item");
item.hide();

Nothing wrong with that method. You might be able to scrunch it into one line, but why?
var id = $(this).closest(".item").hide().attr('id');

Is there a reason why you can't just do
$(this).closest(".item").hide();
Getting the ID and then performing another jQuery selection is going to be slower than this.

You're selecting the item in order to get the id. All you have to do is hide() it there:
$(this).closest(".item").hide()

Just curious as to whether using $(this).closest(".item") without selecting the .attr("id") would work, then just hiding the found closest element. That would save the last line of code, roll it into one line of code. jQuery commands are chainable, so you should just be able to extend your hide command off the same line of code as the .closest() function will return the desired element.
example:
$(this).closest(".item").hide();

I'm not certain if I've understood you correctly, but are you looking for something like this:
$(this).closest(".item").hide();
Here's an example http://jsfiddle.net/alexkey/UtcKk/

Get an element that has an ID which starts with some characters using Dojo

I have a node defined by the following HTML markup:
<div id="_13:3AVAsa7qVvAprAar19ie8LRorrLEm2g" >asdf</div>
I need to get a reference to it without using it's full id like:
dojo.byId('_13:*');
Is it possible or is there any other ways that could be achieved?

You should use the attribute starts-with selector.
I've never used Dojo, but looking here:
http://dojotoolkit.org/reference-guide/dojo/query.html
It seems that you need this:
dojo.query('div[id^="_13:"]')
That same link also contains examples of other useful selectors at the end of the page.

Chaining selectors in jQuery

I'm a guy used to mootools' way of chaining selectors, and I can't seem to find anywhere how to do the same in jQuery.
Suppose I have a select element in the selectObj variable. What I need is to get the last option in that select.
In mootools I would have done something like:
var option = $(selectObj).getElement('nth-child(last)')
Can I do something similar, or what is the way of getting that last option in jQuery?
PS. I know about the parent > child selector, but I can't really use it because I don't know what selector has been used to get the select. I only have the resulting element.

$(selectObj).find(':last')
You can use find to perform another query within the current query.
In general, you can check out the Selectors and Traversal pages on jQuery docs when you're trying to figure out how to select something.

var option = $(selectObj).children(":last");
will return the last child of any element

You can also use .last() for this purpose.

jQuery has the :last Selector
$("tr:last").stuff()
Will do stuff to the last row in a table.