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

Autor(es)

Bhattarai, Santosh ^[1] ; Corcho, Adan J. ^[2] ; Panthee, Mahendra ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Dynamics and Differential Equations; v. 30, n. 2, p. 845-881, JUN 2018.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 16/25864-6 - Equações de Evolução Nãolineares tipo Dispersivas
• Beneficiário: Mahendra Prasad Panthee
• Modalidade de apoio: Auxílio à Pesquisa - Regular