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Nonlinear stability of periodic traveling wave solutions to the Schrödinger and the modified Korteweg-de Vries equations |
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| Authors: | Jaime Angulo Pava |
| Affiliation: | IMECC, UNICAMP, C.P. 6065, CEP 13083-970 Campinas, São Paulo, Brazil |
| Abstract: | This work is concerned with stability properties of periodic traveling waves solutions of the focusing Schrödinger equation iut+uxx+2|u|u=0 |
| Keywords: | Schrö dinger equation Modified Korteweg-de Vries equation Periodic traveling waves Jacobian elliptic functions Nonlinear stability |
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