Soliton propagation and interaction on a two-dimensional nonlinear transmission line. (English) Zbl 1038.81016
Summary: Solitons that propagate on a one-dimensional nonlinear dispersive transmission line can be described with the Korteweg-de Vries (KdV) equation. In two dimensions the solitons are described with the Kadomtsev-Petviashvilli (KP) equation. Both equations are derived for the two transmission lines.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35Q51 | Soliton equations |
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