Traveling wave solutions of nonlinear partial differential equations

We propose a simple algebraic method for generating classes of traveling wave solutions for a variety of partial differential equations of current interest in nonlinear science. This procedure applies equally well to equations which may or may not be integrable. We illustrate the method with two distinct classes of models, one with solutions including compactons in a class of models inspired by the Rosenau-Hyman, Rosenau-Pikovsky and Rosenau-Hyman-Staley equations, and the other with solutions including peakons in a system which generalizes the Camassa-Holm, Degasperis-Procesi and Dullin-Gotwald-Holm equations. In both cases, we obtain new classes of solutions not studied before.Comment: 5 pages, 2 figures; version to be published in Applied Mathematics Letter

Scalar fields, bent branes, and RG flow

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de Sitter geometry in the presence of several real scalar fields. We illustrate the results with some examples, and we take advantage of our findings to investigate renormalization group flow. We have found symmetric brane solutions with four-dimensional anti-de Sitter geometry whose holographically dual field theory exhibits a weakly coupled regime at high energy.Comment: 22 pages, 7 figure

Structure of spherical par-odd nuclei using approximations bcs model and application to acqpv isotonos with n = 82 and isotopes \'NI\', \'ZN\' and \'CS\'

Cálculos dos espectros (E,J ) e das propriedades eletromagnéticas (U,Q,BE2,BM1) são realizados para isótopos ímpares do Ni, e isótopos ímpares com N=82, empregando o modelo de camadas (MC), a aproximação BCS usual (uma e três quasipartículas), BCS com blocking (BBCS) e BCS projetada (PBCS). São examinadas, em detalhe, a importância das correlações de cinco quasipartículas e das correções introduzidas em BCS. Os graus de liberdade coletivos do caroço são introduzidos através do acoplamento quasipartículas cluster vibrador (ACQPV), de modo que nosso formalismo possibilita tanto a inclusão de blocking como a projeção em número de partículas no cluster de uma e três quasipartículas. São realizados cálculos comparativos entre a versão com blocking (BQPCV) e com projeção (PQPCV) para os espectros e as propriedades eletromagnéticas de isótopos ímpares do Zn. A versão projetada é aplicada a isótopos do Césio, na descrição dos estados 5/2+ gerados pelo acoplamento anômalo.We calculate nuclear spectra (E,J ) and electromagnetic properties (U,,BE2,BM1) for odd Ni isotopes and N=82 odd nuclei, using the shell model (MC), the usual BCS approximation (one and three quasiparticles ), blocking (BBCS) and projected (PBCS) BCS. The effects of five quasiparticles correlations and BCS corrections are carefully investigated. We introduce the core collective degrees of freedom by the quasiparticle- cluster- vibration coupling (ACQPV) , in such a way that our treatment makes possible to introduce both blocking and particle- number- projection in one and three quasiparticle cluster. Blocking (BQPCV) and projected (PQPCV) versions are compared for spectra and electromagnetic properties of odd Zn isotopes . Projected version is applied to Cs isotopes, in order to describe the 5/2+ states generated by anomalous coupling

Structure of spherical par-odd nuclei using approximations bcs model and application to acqpv isotonos with n = 82 and isotopes \'NI\', \'ZN\' and \'CS\'

Cálculos dos espectros (E,J ) e das propriedades eletromagnéticas (U,Q,BE2,BM1) são realizados para isótopos ímpares do Ni, e isótopos ímpares com N=82, empregando o modelo de camadas (MC), a aproximação BCS usual (uma e três quasipartículas), BCS com blocking (BBCS) e BCS projetada (PBCS). São examinadas, em detalhe, a importância das correlações de cinco quasipartículas e das correções introduzidas em BCS. Os graus de liberdade coletivos do caroço são introduzidos através do acoplamento quasipartículas cluster vibrador (ACQPV), de modo que nosso formalismo possibilita tanto a inclusão de blocking como a projeção em número de partículas no cluster de uma e três quasipartículas. São realizados cálculos comparativos entre a versão com blocking (BQPCV) e com projeção (PQPCV) para os espectros e as propriedades eletromagnéticas de isótopos ímpares do Zn. A versão projetada é aplicada a isótopos do Césio, na descrição dos estados 5/2+ gerados pelo acoplamento anômalo.We calculate nuclear spectra (E,J ) and electromagnetic properties (U,,BE2,BM1) for odd Ni isotopes and N=82 odd nuclei, using the shell model (MC), the usual BCS approximation (one and three quasiparticles ), blocking (BBCS) and projected (PBCS) BCS. The effects of five quasiparticles correlations and BCS corrections are carefully investigated. We introduce the core collective degrees of freedom by the quasiparticle- cluster- vibration coupling (ACQPV) , in such a way that our treatment makes possible to introduce both blocking and particle- number- projection in one and three quasiparticle cluster. Blocking (BQPCV) and projected (PQPCV) versions are compared for spectra and electromagnetic properties of odd Zn isotopes . Projected version is applied to Cs isotopes, in order to describe the 5/2+ states generated by anomalous coupling