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arXiv 2106.05940nlin.PSnlin.SI
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Born-Infeld方程的二分量非线性波

Two-component nonlinear wave of the Born-Infeld equation

G. T. Adamashvili

摘要:

利用广义摄动约化方法求出Born-Infeld方程$ U_{tt} -C U_{zz} = - A U_{t}^{2} U_{zz} - σU_{z}^{ 2} U_{tt} + B U_{z} U_{t} U_{zt} $的二分量向量呼吸子解。结果表明,二分量非线性波的解随频率和波数之和与之差而振荡。

英文摘要:

The generalized perturbative reduction method is used to find the two-component vector breather solution of the Born-Infeld equation $ U_{tt} -C U_{zz} = - A U_{t}^{2} U_{zz} - σU_{z}^{ 2} U_{tt} + B U_{z} U_{t} U_{zt} $. It is shown that the solution of the two-component nonlinear wave oscillates with the sum and difference of frequencies and wave numbers.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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