Bäcklund Transformations and Exact Solutions for Alfvén Solitons in a Relativistic Electron–Positron Plasma
A. H. KhaterDepartment of Mathematics, Faculty of Science, Cairo University, Beni Suef, EgyptO. H. El‐KalaawyDepartment of Mathematics, Faculty of Science, Cairo University, Beni Suef, EgyptD. K. CallebautPhysics Department, UIA, University of Antwerp, Antwerp, B-2610, Belgium
1998en
ABI
Abstract
Nonlinear Alfvén waves, propagating along a homogeneous magnetic field, are studied using relativistic isotropic hydrodynamics. Alfvén solitons of the moving-wave and wave packet types are considered for modified Korteweg–de Vries (mKdV) equation and the nonlinear Schrödinger (NLS) equation, respectively. The method of characteristics is used and the Bäcklund transformations (BTs) are employed to generate new solutions from the old ones. Thus, families of new solutions for the mKdV and the NLS equations are obtained. The question arises which solitons exist in the pulsar atmosphere.
Identifiers
Citations and references
Cited by 30 references