Exact periodic cross-kink wave solutions for the new \((2+1)\)-dimensional KdV equation in fluid flows and plasma physics. (English) Zbl 1378.35270
Summary: The Korteweg-de Vries (KdV)-type models have been shown to describe many important physical situations such as fluid flows, plasma physics, and solid state physics. In this paper, a new \((2 + 1)\)-dimensional KdV equation is discussed. Based on the Hirota’s bilinear form and a generalized three-wave approach, we obtain new exact solutions for the new \((2 + 1)\)-dimensional KdV equation. With the help of symbolic computation, the properties for some new solutions are presented with some figures.{
©2016 American Institute of Physics}
©2016 American Institute of Physics}
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