Asymptotics of the multipositon–soliton τ function of the Korteweg–de Vries equation and the supertransparency
Asymptotics of the multipositon–soliton τ function of the Korteweg–de Vries equation and the supertransparency
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DOI：
10.1063/1.530496
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发表时间：
1994-06
影响因子：
1.3
通讯作者：
V. Matveev
中科院分区：
文献类型：
--
作者：
V. Matveev
计算生成 Korteweg-de Vries 方程 N 位置 M 孤子解的 τ 函数的渐近性。这可以证明孤子在与位置碰撞时不会经历任何相移。这些位置本身在相互碰撞中保持不变。这种现象称为多位置解的超透明或超反射特性。还讨论了这种现象的线性方面。结果表明，位置在与孤子碰撞时获得两个额外但总是有限的相移。这个结果允许自然扩展到相互作用中的任意数量的孤子和位置。
The asymptotics of the τ function generating the N‐positon–M‐soliton solution of the Korteweg–de Vries equation is calculated. This allows to prove that solitons do not experience any phase shift in a collision with positons. The positons themselves survive mutual collisions unchanged. This phenomenon is called the supertransparency or super‐reflectionless property of the multipositon solutions. The linear aspects of this phenomenon are also discussed. It is demonstrated that positons acquire two additional but always finite phase shifts in collision with solitons. This result admits a natural extension to any number of solitons and positons in interaction.