I did some research on Egyptian Pharoahs and found that they matched precisely with kings of Ikhsvaku till Rama. The match is not just in the name but also in their position in the family tree.

Rama is Ramses 1
https://en.m.wikipedia.org/wiki/Ramesses_I 
Consort of Ramses 1 is Sitre who bcome Sita in Indian version.

Dasaratha is Horemheb - father of Ramses 1
https://en.m.wikipedia.org/wiki/Horemheb 
Horemheb is named after Egyptian God Horus. Dasaratha is Dashorus
Horemheb was not biological father of Ramses 1. Similarly, Dasaratha not biological father of Rama.

Horemheb's parentage is unknown but his immediate predecessor was Pharaoh Ay.
https://en.m.wikipedia.org/wiki/Ay 
Dasaratha's father and immediate predecessor was Aja
https://en.m.wikipedia.org/wiki/Aja_of_Kosala

Aja's father and immediate predecessor was Raghu who is Tutankhamun, immediate predecessor of Pharaoh Ay.
Tuts other name is Ratho-tis.
https://en.m.wikipedia.org/wiki/Tutankhamun
https://en.m.wikipedia.org/wiki/Raghu 

Raghu's father and predecessor was Dilipa who is Akhenaten, father of Tut.
Dilipas other name is Khatwanga
https://en.m.wikipedia.org/wiki/Akhenaten 
https://en.m.wikipedia.org/wiki/Dilīpa 
Dilipas mad worship of Kamadhenu is similar to Akhenatens worship of Aten.

Akhenatens father Amenhotep 3 is Amshuman, father of Dilipa.
https://en.m.wikipedia.org/wiki/Amenhotep_III
https://en.m.wikipedia.org/wiki/Amshuman 

Amenhotep 3 s father Thutmose IV is Asamanja, father of Amshuman.
https://en.m.wikipedia.org/wiki/Thutmose_IV
https://en.m.wikipedia.org/wiki/Asamanja 
Thutmose 4 was not chosen as crown prince by his father Amenhotep 2. Similarly, Asamanja was exiled by his father Sagara from the kingdom considering Hez evil.

Similarly, we can match the rest.
The most amazing find is Pharaoh Khufu, the builder of great pyramid. Hez king Prithu of Ikshvaku.
https://en.m.wikipedia.org/wiki/Khufu 
https://en.m.wikipedia.org/wiki/Prithu 
Khufu was named after Egyptian earth goddess Khnum.
King Prithu after earth goddess Prithvi.

Abydos of Egypt is Ayodya.
https://en.m.wikipedia.org/wiki/Abydos,_Egypt
"Ramses 1 ordered the provision of endowments for the construction of a chapel and a temple (which was to be finished by his son) at Abydos."
It's a sacred city and one of the most important archeological sites in Egypt .

Interesting thing found regarding Dasaratha(son of Aja) His other name is Nemi.
Son of Pharoah Ay is Nakhtmin who was supposed to become next Pharoah but it's Horemheb who bcome next Pharoah & all records of Nakhtmin were vanished.
https://en.m.wikipedia.org/wiki/Nakhtmin  https://mobile.twitter.com/Nag_J1/status/1045405539633704961

Hanuman is the baboon God of Egypt, Thoth.

The name Hanuma from Hmnw, the ancient city in which Thoth's chief temple exist.

"Thoth's chief temple was located in the city of Ancient Egyptian: ḫmnw χaˈmaːnaw"
https://en.m.wikipedia.org/wiki/Thoth 

Thoth is mediator btw good and evil - Similar to Hanuma's role in Ramayana
"Thoth's roles in Egyptian mythology were many. He served as a mediating power, especially between good and evil.."

Check this thread on Kamadhenu (heavenly cow) & pharaoh Akhenaten https://mobile.twitter.com/Nag_J1/status/1061155138562334721

https://mobile.twitter.com/Nag_J1/status/1065148080335581184

https://mobile.twitter.com/Nag_J1/status/1066731887048183809

The brothers of Rama could be allegory to four divisions of Egyptian army. These divisions were mentioned in the Battle of Kadesh.
4 div: Re/Ra, Amun, Ptah & Seth
Ra - the sun god after which Ramesses was named
Amun - laksmana
Ptah - Bharata
Seth - Shatrugna

It’s only the Amun division & part of Ra div that’s with Ramesses 2 during the critical part of the battle.

Note: all this heroic representation of Ramesses 2 & the outcome of the battle is from the Egyptian version - not the rival Hittite version of battle & outcome. So, whatever story that came to Indian subcontinent in whatever way must be from Egyptian source.