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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Symmetry analysis and CTE solvability for the (2+1)-dimensional Boiti-Leon-Pempinelli equation
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Symmetry analysis and CTE solvability for the (2+1)-dimensional Boiti-Leon-Pempinelli equation

机译：（2 + 1）维Boiti-Leon-Pempinelli方程的对称性分析和CTE可解性

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摘要

The residual symmetry is derived from the known truncated Painleve expansion of the (2+1)-dimensional Boiti-Leon-Pempinelli (BLP) equation, and this kind of residual symmetry is localized by introducing two new variables. By applying the Lie point symmetry method to the enlarged system, a new type of finite symmetry transformation is derived. Moreover, it is proved that the (2+1)-dimensional BLP equation is consistent tanh expansion solvable, the exact interaction solutions between solitons and any other types of potential Burgers waves are also obtained, which include soliton-error function waves, soliton-periodic waves, and so on.
机译：残差对称性是从已知的（2 + 1）维Boiti-Leon-Pempinelli（BLP）方程的截断的Painleve展开中得出的，这种残差对称性是通过引入两个新变量来定位的。通过将李点对称方法应用于扩展系统，推导了一种新型的有限对称变换。此外，证明了（2 + 1）维BLP方程是一致的tanh扩展可求解的，并且还获得了孤子与任何其他类型的潜在Burgers波之间的精确相互作用解，其中包括孤子误差函数波，孤子波和周期性波，等等。

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