id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-10	Ichida, Yu	Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity	2023	20	.pdf	application/pdf	8775	481	75	In addition, the asymptotic behaviors are φ(ξ) ∼ C(ξ+ − ξ) 2 α+1 ψ(ξ) ∼ −C (ξ+ − ξ)− α−1 α+1 (2.3) as ξ → ξ+ − 0, and φ(ξ) ∼ C(ξ − ξ−) 2 α+1 ψ(ξ) ∼ C (ξ − ξ−) −α−1 α+1 (2.4) as ξ → ξ− + 0, with C > 0. In addition, the quenching rates are φ(ξ) ∼ −C(ξ+ − ξ) 2 α+1 ψ(ξ) ∼ C (ξ+ − ξ)− α−1 α+1 (2.1) as ξ → ξ+ − 0, and φ(ξ) ∼ −C(ξ − ξ−) 2 α+1 ψ(ξ) ∼ −C (ξ − ξ−) −α−1 α+1 (2.2) as ξ → ξ− + 0, with C > 0.	cache/ejde-10.pdf	txt/ejde-10.txt