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This paper is concerned with the nonlinear boundary eigenvalue problem −(|u | p−2 u) = λm|u| p−2 u u ∈ I =]a, b[, u(a) = u(b) = 0, where p > 1, λ is a real parameter, m is an indefinite weight, and a, b are real numbers. We prove there exists a unique sequence of eigenvalues for this problem. Each eigenvalue is simple and verifies the strict monotonicity(More)
In this paper, we focus on a sub-problem of Arabic text error correction, namely Arabic Text Denormalization. Text Denormalization is considered an important post-processing step when performing machine translation into Arabic. We examine different approaches for denormalization via the use of language modeling, stemming, and sequence labeling. We show the(More)
In this paper, the modified Kudryashov method or the rational Exp-function method with the aid of symbolic computation has been proposed to construct exact solutions of both the coupled equal width wave equation and the (2+1)-dimensional Nizhnik-Novikov-Veselov equations. As a result, some new types of exact traveling and solitary wave solutions are(More)
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