The role of the seed solution in solving nonlinear equations

Ruan HY; Chen YX; Chen YX

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The role of the seed solution in solving nonlinear equations

机译：种子解在求解非线性方程中的作用

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Through solving higher-order Broer-kaup equation and ANNV equation we discuss in detail the relationship between the seed solution in the Backlund transformation and the structure of the exact solution. We find taking the seed solution as a zero solution the types of exact solutions are less and taking the seed solution as some nonzero solution one can obtain many special exact solutions such as localized structure, fractal and chaos. The seed solution in Backlund transformation is a transform bridge among different physics phenomena described by the various physics quantities.

机译：通过求解高阶Broer-kaup方程和ANNV方程，我们详细讨论了Backlund变换中的种子解与精确解的结构之间的关系。我们发现，以种子解为零解，精确解的类型较少，以种子解为非零解，可以得到许多特殊的精确解，例如局部结构，分形和混沌。 Backlund变换中的种子解是通过各种物理量描述的不同物理现象之间的转换桥梁。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2005年第4期|共7页
作者
Ruan HY; Chen YX; Chen YX;
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正文语种 eng
中图分类物理学;
关键词
NOVIKOV-VESELOV EQUATION; SCHRODINGER-EQUATION; COHERENT STRUCTURES; SOLITARY WAVES; SOLITONS; SYSTEM;

机译：诺维科夫-维谢洛夫方程;薛定DING方程;相干结构;孤波;孤子;系统;

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The role of the seed solution in solving nonlinear equations

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