These resources may interest you.

http://www.diffen.com/difference/Anorexia_Nervosa_vs_Bulimia_Nervosa

https://www.scientificamerican.com/article/brain-differences-help-explain-eating-disorders/

https://www.guilford.com/books/Cognitive-Behavior-Therapy-and-Eating-Disorders/Christopher-Fairburn/9781593857097/reviews

https://www.guilford.com/books/Eating-Disorders-and-Obesity/Brownell-Walsh/9781462529063

https://www.guilford.com/books/Handbook-of-Treatment-for-Eating-Disorders/Garner-Garfinkel/9781572301863/reviews

One things puking is a cool sulution becoming thin and trains it until they puke by themself and feel disgusted by food, the other one does not?

(Thanks God they removed the thumb down button)

The main core belief in anorexia nervosa is "I'm fat and since that I'm disgusting". In bulimia the most important core belief is "I have to fill up myself and as a result, I'll feel good" and after that "I have to purge myself and as a result, I'll feel good". I.e. in the last condition the core belief "I fat" is not the main cognitive misappraisal

Yes, Gabriella. But this I wouldn't call Bulimia, when a person tends under stress or anxiety to show this behavior. What you are talking about here is rather defined in ICD F50.5 as sickness due to other psychical disorders. Bulimia is exactly linked to the will to become thin and that one wants to reduce weight and through the behavior of puking causing further damage and harm to the body. That is the main problem. Problems that follow are that the periods between eating and puking become shorter because they are f.e. developing something we can also see in Pica-Syndrom: That people who have an underlaying problem of deficiency symptom tend to guzzle like everything in order to compensate the deficiency. And here the person with Bulemia comes into a vicious circle, because the solution for eating is puking, which is then to eat again. The eating is not like 'mental'. This is a physical reaction to starving. The puking is trained. And the more it get's trained the more it becomes a reflex. And then they are trapped in their own mind boxes somewhere between the physical, the mental and the unconscious.

Hello Gabrielle, people with anorexia do not puke. This is only something which can be observed in the so called 'Purging-Type' which is then called Bulimia and a clinical subform of anorexia. So not everyone with anorexia has this problem. I wouldn't suggest to compare any form of concomitant disease which can be found in alcoholism or drug abuse with anorexia. Because the symptom of for example lack of vitamin may be the same. But you wouldn't be that antisocial and tell a pregnant woman that you compare her with alcoholics just because she might have lack of vitamin. Same here. The person with anorexia did not destroy their guts how we can find it in alcoholism due to poisoning. They are starving themself to death. And this is of course not at all comparable with alcoholism or a drug addiction. This is psychiatric jabber because they do not have enough therapy places and so they prefer to sort people rather by symptoms because they do not care who pays for what. For them a symptom is a symptom and the outcome must be treat similar. Psyche does not even really exist here. And as far as it comes into play: Not their field.

The abstract of "Personality and eating disorders: A decade in review" states:

"...The present article reviews literature examining the link between personality and EDs published within the past decade, and presents a meta-analysis evaluating the prevalence of personality disorders (PDs) in anorexia nervosa (AN), bulimia nervosa (BN), and binge eating disorder (BED) as assessed by self-report instruments versus diagnostic interviews. AN and BN are both consistently characterized by perfectionism, obsessive-compulsiveness, neuroticism, negative emotionality, harm avoidance, low self-directedness, low cooperativeness, and traits associated with avoidant PD. Consistent differences that emerge between ED groups are high constraint and persistence and low novelty seeking in AN and high impulsivity, sensation seeking, novelty seeking, and traits associated with borderline PD in BN. The meta-analysis, which found PD rates of 0 to 58% among individuals with AN and BN, documented that self-report instruments greatly overestimate the prevalence of every PD."

http://www.sciencedirect.com/science/article/pii/S0272735805000899