Abstract

An approximate analytical description of the nonstationary evolution of cylindrical nonlinear solitary waves with a complex structure is given. A modified Gardner equation with a boundary condition in the form of a “wide” soliton close to the limiting one is analyzed. The analysis shows a qualitative difference in the behavior of converging and diverging waves, as well as a difference from the quasi-stationary dynamics of cylindrical solitons.

中文翻译：

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非平稳圆柱孤波的动力学

摘要

给出了具有复杂结构的圆柱非线性孤波非平稳演化的近似解析描述。分析了边界条件为接近极限的“宽”孤子形式的改进的Gardner方程。分析表明，在收敛和发散波的性质上存在质的差异，并且与圆柱孤子的准稳态动力学也存在差异。