Geodesic
The method of affine transformations for solving Diophantine equations
Matematičeskoe obrazovanie, no. 3 (2021), pp. 89-94 
B. Zh. Sagindykov. The method of affine transformations for solving Diophantine equations. Matematičeskoe obrazovanie, no. 3 (2021), pp. 89-94. http://geodesic.mathdoc.fr/item/MO_2021_3_a9/
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     author = {B. Zh. Sagindykov},
     title = {The method of affine transformations for solving {Diophantine} equations},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {89--94},
     year = {2021},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_3_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The main goal of this work is to find rational points of a curve in the plane defined by an equation of the second degree.

[1] B. Zh. Sagindykov, Bimurat Zhanar, “Estestvennye i matematicheskie nauki: voprosy i tendentsii razvitiya”, materialy mezhdunarodnoi zaochnoi-prakticheskoi konferentsii 01 aprelya 2013 g., Novosibirsk, 2013, 150 pp.

[2] B. Zh. Sagindykov, T. E. Dzhatykov, “Dostizheniya vuzovskoi nauki 2021”: sbornik statei KhVII mezhdunarodnogo nauchno-issledovatelskogo konkursa, MTsNS “Nauka i prosveschenie”, Penza, 2021, 382 pp.

[3] N. J. Wildberger, Pell's equation without irrational numbers, arXiv: 0806.2490v1 [math.H0]