The ketogenic diet, is a high fat diet, in contrast to the Atkins diet, which is a high protein diet. Both are low carb diets.

The transition from using glucose as energy source, to using fat as energy source, creates a strong hunger response. For those that consume normal western diets, with typically a high glycemic response, the intensity of hunger during calorie restriction will reach levels that may be intolerable. Staying in keto will keep your body on fat burning mode, and your hunger pangs will be less even if you are consuming less calories than you are using.

Hunger is affected by the hormones ghrelin and leptin. These vary by time of day, and I think are related to the circadian rhythm. So it may also help to eat on a schedule.

Note: The use of your own fat for fuel can reduce growth hormone levels, as the body switches from feast to famine mode. Although there seem to be workarounds, because growth hormone secretion happens at specific times.

Nutritional Ketosis Alters Fuel Preference and Thereby Endurance Performance in Athletes

One research paper found a link between a high fat diet and adipocyte apoptosis (fat cell death).

http://livingvertical.org/2015/09/01/the-ketogenic-diet-and-type-1-diabetes-what-i-eat.
https://authoritynutrition.com/ketogenic-diet-101
http://www.bodybuilding.com/fun/venuto1.htm
http://joshmitteldorf.scienceblog.com/2016/10/05/nutritional-geometry-3-ketosis-benefits-risks-of-oil-rich-diets

You can use ketone strips to estimate your level of ketosis. “Test strips only show the amount of ketones your body ISN'T using, so how it really works is:
1. when you fist start trying to get into ketosis the strips should be light because your body isn't really producing many ketones.
2. the strips will get darker as your body starts producing more Ketones but cant effectively use them, so you excrete most of them.
3. the strips will get lighter after your body learns to use ketones and now you excrete less of them.” (Tim Gunther, Amazon)

I have tried a meat and non-sweet-vegetable only diet (high-protein), for 6 weeks, and I was always in a state of hunger no matter how much I ate, but I think that this only applies to my own body type. Or, it only applies to a body and mind with a life long history of a high sugar and starch diet. Your experience could be completely different. Regardless of choosing a high protein, or high fat diet, I think most people would benefit from reducing the amount of carbohydrates, especially, simple sugars. Edit: I found out the body can convert protein into glucose, and so maybe, I was always transitioning in and out of ketosis. Likely, the transition in and out of ketosis was causing periods of elevated hunger.

Diets to lose weight in the short term may not be the solution: Diets Are Not the Answer. Lifestyle changes in what you eat, will lead to sustained weight loss, and better health. It's up to you to experiment, and find out what works best for your own energy processing engine.