In the presence of an applied static and uniform magnetic field, a cylindrical Kadomtsev-Petviashvili (CKP) equation is derived for a relativistically magnetosonic solitary wave propagating in a collisionless plasma in the case of weak relativistic limit. The equation is solved in a stationary frame to obtain a particular solution. It is shown that the externally imposed magnetic field greatly influences the phase velocity, amplitude and width of the CKP soliton. (c) 2006 Elsevier B.V All rights reserved.
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All Russian Electrotech Inst, Ul Krasnokazarmennaya 12, Moscow 111250, RussiaAll Russian Electrotech Inst, Ul Krasnokazarmennaya 12, Moscow 111250, Russia
Movsesyants, Yu. B.
Rukhadze, A. A.
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Russian Acad Sci, Prokhorov Gen Phys Inst, Ul Vavilova 38, Moscow 119991, RussiaAll Russian Electrotech Inst, Ul Krasnokazarmennaya 12, Moscow 111250, Russia
Rukhadze, A. A.
Tyuryukanov, P. M.
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All Russian Electrotech Inst, Ul Krasnokazarmennaya 12, Moscow 111250, RussiaAll Russian Electrotech Inst, Ul Krasnokazarmennaya 12, Moscow 111250, Russia
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Taibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, EgyptTaibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
Seadawy, A. R.
El-Rashidy, K.
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Taif Univ, Coll Arts & Sci, Dept Math, Ranyah, Saudi Arabia
Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, EgyptTaibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
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YunnanWenshan Teachers Coll, Dept Math & Phys, Wenshan 663000, Peoples R ChinaYunnanWenshan Teachers Coll, Dept Math & Phys, Wenshan 663000, Peoples R China