A new integrable generalization of the Korteweg–de Vries equation
A new integrable generalization of the Korteweg–de Vries equation
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DOI：
10.1063/1.2953474
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发表时间：
2007-08
影响因子：
1.3
通讯作者：
Ayse Karasu-Kalkanli;A. Karasu;A. Sakovich;S. Sakovich;R. Turhan
中科院分区：
文献类型：
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作者：
Ayse Karasu-Kalkanli;A. Karasu;A. Sakovich;S. Sakovich;R. Turhan
通过 Painleve 分析发现了一个新的可积六阶非线性波动方程，该方程等价于有源的 Korteweg-de Vries 方程。找到了新方程的Lax表示和自Backlund变换，并研究了其行波解和广义对称性。
A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg–de Vries equation with a source. A Lax representation and an auto-Backlund transformation are found for the new equation, and its traveling wave solutions and generalized symmetries are studied.