Truncated Painleve expansion and reduction of sine-Poisson equation to a quadrature in collisionless cold plasma |
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| Authors: | Ibrahim R S |
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| Institution: |
1 Mathematics Department, Faculty of Science, Cairo University, Beni-Suef, Egypt
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| Abstract: | The relativistic nonlinear self-consistent equations for a collisionlesscold plasma with stationary ions is considered. The resultingsystem of equations for stationary and non-stationary equationsin two-dimensions can be reduced to the sine-Poisson equation.The truncated Painlevé expansion and reduction of thepartial differential equation to a quadrature problem (RQ method)are described and applied to obtain the travelling wave solutionsof the sine-Poisson equation describing the charge density equilibriumconfiguration model. |
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| Keywords: | collisionless cold plasma nonlinear elliptic equations truncated Painlevé expansion RQ method |
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