id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ijassa-1986	Kushner, Elena N.	The Multivalued Solutions of the Cauchy Problem for One Quasilinear System: Multivalued Solutions of the Cauchy Problem	2025	7	.pdf	application/pdf	1712	112	82	Shifting the curve K along the vector field X(1), we obtain the multivalued solution to the Cauchy problem: LK :  t = τ, x = τ + χ+ χ3 1 + χ2 , u0,0 = 1 1 + χ2 , v0,0 = 1 2 + χ2 − 2χ , u1,0 = 2χ (1 + χ2)(1 + 2χ2 + χ4 − 2τχ) , u0,1 = − 2χ 1 + 2χ2 + χ4 − 2τχ , v1,0 = 2χ3 − 2χ2 + 2χ− 2 (2 + χ2 − 2χ)2(1 + 2χ2 + χ4 − 2τχ) , v0,1 = − 2(χ− 1))(1 + χ2)2 (2 + χ2 − 2χ)2(1 + 2χ2 + χ4 − 2τχ) . 4.1, the surface Lv K :  t = τ, x = τ + χ+ χ3 1 + χ2 , v0,0 = 1 2 + χ2 − 2χ , (4.6) has self-intersection along some curve.	cache/ijassa-1986.pdf	txt/ijassa-1986.txt