A Davey-Stewartson-Related Scattering Problem with Nonsmall Potential
نویسندگان
چکیده
منابع مشابه
Cross-Constrained Variational Problem for a Davey-Stewartson System∗
This paper concerns the sharp threshold of blowup and global existence of the solution as well as the strong instability of standing wave eu(x) to the system iφt +Δφ+ a|φ|p−1φ+ bE1(|φ|)φ = 0 (DS) in R , where a > 0, b > 0, 1 ≤ p < N+2 (N−2)+ , N ∈ {2, 3} and u is a ground state. First, by constructing a type of cross-constrained variational problem and establishing so-called cross-invariant man...
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We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of fractional derivatives for the systems under considerat...
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We propose a differential difference equation in R × Z and study it by Hirota’s bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson equation. The solutions of this discrete DS system are characterized by Casorati and Grammian determinants. Based on the bilinear form of this discrete DS system, we construct the bilinear B...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1994
ISSN: 0022-0396
DOI: 10.1006/jdeq.1994.1074