Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas. (English) Zbl 1041.68134
Summary: In this paper, with the aid of computerized symbolic computation, we use the generalized hyperbolic-function method to obtain new families of exact analytic solutions for the (2 + 1)-dimensional symmetric regularized-long-wave equation. This equation describes weakly nonlinear ion-acoustic and space-charge waves in strongly magnetized cold-electron plasmas. The families we obtain consist of solitary waves and trigonometric functions. We outline an observable (2 + 1)-dimensional effect that could be of interest to future experiments on space and laboratory plasma systems. The usage of the Wu elimination method has also been addressed.
MSC:
| 68W30 | Symbolic computation and algebraic computation |
Keywords:
Strongly magnetized cold-electron plasma; (2 + 1)-dimensional; regularized-long-wave equations; Symbolic computation; Observable effect; Solitary waves; Exact analytic solutionsReferences:
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