CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Bulgária
B.Sc. in Matematics - University of Sofia `St. Kliment Ohridski' (1983), M.Sc. in Matematics - University of Sofia `St. Kliment Ohridski' (1985) and Ph.D. in Matematics - University of Warwick (1993). Present position: Full Professor, University of Campinas, SP, Brazil. Scientific interests: Nonlinear Differential Equations, Symmetries of Differential Equations, Critical Exponents, Pohozaev's and Rellich's Identities, Hermite-Einsten Equations, Calabi-Yau Manifolds. (Source: Lattes Curriculum)
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We aim to obtain complete group classification of Lie point symmetries and equivalence groups for various classes of differential equations and systems, such as, for example, generalized non-linear Schrödinger equations, equations describing heat transfer, the Liouville-Bratu-Gelfand Problem. We will establish the corresponding conservation laws. Since the studied evolutionary models do n…
We will study soliton solutions of dynamical systems modeled by some classes of differential equations like the nonlinear vector Schrodinger equation, Boussinesq equation, Gross-Pitaevsky equation and theirs generalizations in higher spatial dimensions using analytical and numerical methods and algorithms. (AU)
We intend to perform complete Group Analysis of various nonlinear diffrential equations and systems coming from Analysis, Differentail Geometry, Mathematical Physics, Biology, using variational methods, symmetry Lie groups, Pohozaev and Rellich type Identities, the Noether Theorem, the New Conservation Theorem of Nail H. Ibragimov, and symbolic calculation programs. (AU)
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| 6 / 6 | Completed research grants |
| 5 / 1 | Completed scholarships in Brazil |
| 2 / 0 | Completed scholarships abroad |
| 13 / 7 | All research grants and scholarships |
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