Soliton solution and interaction property for a coupled modified Korteweg-de Vries (mKdV) system

• 来源期刊: 中国物理B(英文版)
• 关键词: coupled mKdV system Hirota's bilinear method soliton solution elastic interaction
• 年，卷（期）: 2008,（12）
• 页码范围: 4337-4343
• 页数: 7页
• 语种: 英文

摘要

Hirota's bilinear direct method is applied to constructing soliton solutions to a special coupled modified Korteweg de Vries (mKdV) system. Some physical properties such as the spatiotemporal evolution, waveform structure, interactive phenomena of solitons are discussed, especially in the two-soliton case. It is found that different interactive behaviours of solitary waves take place under different parameter conditions of overtaking collision in this system. It is verified that the elastic interaction phenomena exist in this (11)-dimensionai integrable coupled model.