{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T21:58:02Z","timestamp":1773525482914,"version":"3.50.1"},"reference-count":43,"publisher":"AIP Publishing","issue":"10","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2007,10,1]]},"abstract":"<jats:p>The propagation of acoustic nonlinear excitations in an electron-positron-ion (e-p-i) plasma composed of warm electrons and positrons, as well as hot ions, has been investigated by adopting a two-dimensional cylindrical geometry. The electrons and positrons are modeled by hydrodynamic fluid equations, while the ions are assumed to follow a temperature-parametrized Boltzmann distribution (the fixed ion model is recovered in the appropriate limit). This situation applies in the accretion disk near a black hole in active galactic nuclei, where the ion temperature may be as high as 3 to 300 times that of the electrons. Using a reductive perturbation technique, a cylindrical Kadomtsev-Petviashvili equation is derived and its exact soliton solutions are presented. Furthermore, real situations in which the strength of the nonlinearity may be weak are considered, so that higher-order nonlinearity plays an important role. Accordingly, an extended cylindrical Kadomtsev-Petviashvili equation is derived, which admits both soliton and double-layer solutions. The characteristics of the nonlinear excitations obtained are investigated in detail.<\/jats:p>","DOI":"10.1063\/1.2795127","type":"journal-article","created":{"date-parts":[[2007,10,19]],"date-time":"2007-10-19T12:08:26Z","timestamp":1192795706000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":66,"title":["Nonlinear excitations in electron-positron-ion plasmas in accretion disks of active galactic nuclei"],"prefix":"10.1063","volume":"14","author":[{"given":"W. M.","family":"Moslem","sequence":"first","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany and Department of Physics, Faculty of Education-Port Said, , Egypt"},{"name":"Suez Canal University Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany and Department of Physics, Faculty of Education-Port Said, , Egypt"}]},{"given":"I.","family":"Kourakis","sequence":"additional","affiliation":[{"name":"Queen\u2019s University Belfast Centre for Plasma Physics (CPP), Department of Physics and Astronomy, , BT7 1 NN, Northern Ireland and Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany"},{"name":"Ruhr-Universit\u00e4t Bochum Centre for Plasma Physics (CPP), Department of Physics and Astronomy, , BT7 1 NN, Northern Ireland and Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany"}]},{"given":"P. K.","family":"Shukla","sequence":"additional","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"},{"name":"University of Kwazulu-Durban Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"},{"name":"Ume\u00e5 University Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"},{"name":"Max-Planck Institut f\u00fcr Extraterrestrische Physik Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"},{"name":"GoLP\/Instituto Superior T\u00e9cnico Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"},{"name":"Rutherford Appleton Laboratory Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"},{"name":"University of Strathclyde Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany, School of Physics, , Durban 4000, South Africa, Department of Physics, , SE-90187 Ume\u00e5, Sweden, , D-85741 Garching, Germany, , 1049-001 Lisbon, Portugal, CCLRC Centre for Fundamental Physics, , Chilton, Didcot, Oxon 0X11 0QX, United Kingdom, and SUPA Department of Physics, , Glasgow G 40NG, United Kingdom"}]},{"given":"R.","family":"Schlickeiser","sequence":"additional","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum Institut f\u00fcr Theoretische Physik IV, Fakult\u00e4t f\u00fcr Physik und Astronomie, , D-44780 Bochum, Germany"}]}],"member":"317","published-online":{"date-parts":[[2007,10,18]]},"reference":[{"key":"2023073000535125500_c1a","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1017\/S0022377800013283","volume":"40","year":"1988","journal-title":"J. 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