论文标题
Flaton：扩展加德纳方程中的平顶孤子
Flatons: flat-top solitons in extended Gardner equations
论文作者
论文摘要
在Gardner方程及其扩展中，非凸线对流范围界定了它们溶解和扭结 /反旋转形式的孤子 /压缩速度的范围。靠近孤子屏障，我们展开了狭窄的速度条，孤子形状会经历结构性变化，而不是随着速度而生长，它们的顶部变平并迅速扩大。 $ε^2 << 1 $变化的速度使其宽度扩大LN $（1/ε）$。对于非常好的近似值，这些孤立的波（称为Flatons）可以看作是由彼此任意距离的扭结和反旋转组成的。像普通的孤子一样，曾经形成的扁平族人都非常健壮。 Gardner方程的多维扩展表明，球形Flaton是普遍的，并且在许多情况下，每个可允许的速度都支持整个多节点扁平盆的整个序列。
In both the Gardner equation and its extensions, the non-convex convection bounds the range of solitons / compactons velocities beyond which they dissolve and kink/anti-kink form. Close to solitons barrier we unfold a narrow strip of velocities where solitons shape undergoes a structural change and rather than grow with velocity, their top flattens and they widen rapidly; $ε^2 << 1$ change in velocity causes their width to expand ln $(1/ ε)$. To a very good approximation these solitary waves, referred to as flatons, may be viewed as made of a kink and anti-kink placed at an arbitrary distance from each other. Like ordinary solitons, once flatons form they are very robust. A multi-dimensional extension of the Gardner equation reveals that spherical flatons are as prevalent and in many cases every admissible velocity supports an entire sequence of multi-nodal flatons.
