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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Well-Posedness for Multicomponent Schrodinger-gKdV Systems and Stability of Solitary Waves with Prescribed Mass

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Author(s):
Bhattarai, Santosh [1] ; Corcho, Adan J. [2] ; Panthee, Mahendra [3]
Total Authors: 3
Affiliation:
[1] Trocaire Coll, 360 Choate Ave, Buffalo, NY 14220 - USA
[2] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, RJ - Brazil
[3] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 30, n. 2, p. 845-881, JUN 2018.
Web of Science Citations: 2
Abstract

In this paper we prove the well-posedness issues of the associated initial value problem, the existence of nontrivial solutions with prescribed -norm, and the stability of associated solitary waves for two classes of coupled nonlinear dispersive equations. The first problem here describes the nonlinear interaction between two Schrodinger type short waves and a generalized Korteweg-de Vries type long wave and the second problem describes the nonlinear interaction of two generalized Korteweg-de Vries type long waves with a common Schrodinger type short wave. The results here extend many of the previously obtained results for two-component coupled Schrodinger-Korteweg-de Vries systems. (AU)

FAPESP's process: 16/25864-6 - Nonlinear Evolution Equations of Dispersive Type
Grantee:Mahendra Prasad Panthee
Support Opportunities: Regular Research Grants