Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive...
Well-posedness and qualitative properties for nonlinear PDEs
Properties of solutions (solitary wave) of systems of non linear dispersive equations
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] IMECC UNICAMP, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 19, n. 10, p. 5015-5032, OCT 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms. Our method is basically developed under two assumptions: one concerning the spectrum of the linearized operator around the traveling wave and another one concerning the existence of a conserved quantity with suitable properties. The method can be applied to several systems such as the Liu-Kubota-Ko system, the modified KdV system and a log-KdV type system. (AU) | |
| FAPESP's process: | 17/20760-0 - Variational methods and stability of periodic waves for nonlinear dispersive systems |
| Grantee: | Fabrício Cristófani |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |